Home » Inequality » Inequality Question : Find the minimum value possible

Inequality Question : Find the minimum value possible

Q.)P,Q and R are distinct natural numbers:
If V = \frac { { P(Q }^{ 2 }+{ R }^{ 2 })+Q(P^{ 2 }+{ R }^{ 2 })+R(P^{ 2 }+{ R }^{ 2 }) }{ PQR } , V must be
i)Greater than 5
ii)Greater than 6
iii)Greater than 4
=>V = \frac { { P(Q }^{ 2 }+{ R }^{ 2 })+Q(P^{ 2 }+{ R }^{ 2 })+R(P^{ 2 }+{ R }^{ 2 }) }{ PQR }
= (\frac { Q }{ R } +\frac { R }{ Q } )+(\frac { P }{ R } +\frac { R }{ P } )+(\frac { P }{ Q } +\frac { Q }{ P } )

From A.M > G.M (Equality is not included because all numbers are distinct)
\frac { Q }{ R } +\frac { R }{ Q } ) > 2 as P,Q and R are distinct natural numbers.
Similarly for others.
Hence V > 6.


148 Comments

  1. خرید و ساخت اپل ایدی

    An Apple ID is the personalized account you use to obtain Apple companies like the Application Keep, iTunes Store, iCloud, iMessage, the Apple On the internet Retailer, FaceTime, and far more. It includes the e-mail address and password you use to sign…

  2. anal sex lube

    […]just beneath, are several absolutely not related web pages to ours, however, they may be certainly worth going over[…]

  3. وکیل پایه یک و مشاور حقوقی شما

    It¡¦s in fact a nice and beneficial piece of info. I¡¦m satisfied that you just shared this helpful details with us. Remember to preserve us up to date like this. Many thanks for sharing.

  4. dildo strapon

    […]just beneath, are numerous absolutely not connected websites to ours, however, they are certainly worth going over[…]

  5. sex toys for couples

    […]that would be the finish of this report. Here you will locate some internet sites that we believe you will appreciate, just click the hyperlinks over[…]

  6. vibrator says:

    vibrator

    […]Sites of interest we have a link to[…]

  7. best sex games

    […]The information and facts mentioned within the report are some of the best accessible […]

  8. personal massager

    […]one of our visitors not long ago proposed the following website[…]

  9. Ultimate G Vibrator

    […]very handful of web sites that happen to become detailed below, from our point of view are undoubtedly properly worth checking out[…]

  10. masturbate says:

    masturbate

    […]one of our guests not long ago encouraged the following website[…]

  11. 10 oz traditional black karate uniform

    […]Every the moment inside a whilst we opt for blogs that we study. Listed beneath are the newest web-sites that we pick […]

  12. کاشت مو

    […]we prefer to honor many other web web-sites around the web, even when they aren’t linked to us, by linking to them. Below are some webpages really worth checking out[…]

  13. driving tips says:

    driving tips

    […]The details mentioned inside the post are a number of the most effective offered […]

  14. bangal ka jadu

    […]just beneath, are a lot of entirely not associated websites to ours, even so, they’re certainly worth going over[…]

  15. Mikemaid says:

    Mikemaid

    […]usually posts some very fascinating stuff like this. If you are new to this site[…]

  16. bangal ka jadu

    […]very couple of internet sites that take place to become comprehensive below, from our point of view are undoubtedly properly worth checking out[…]

  17. Cock ring says:

    Cock ring

    […]that is the finish of this article. Right here you will obtain some websites that we believe you will enjoy, just click the hyperlinks over[…]

  18. Nipple Toys says:

    Nipple Toys

    […]Here is a great Weblog You may Uncover Exciting that we Encourage You[…]

  19. massage before sex

    […]the time to read or go to the content material or web sites we have linked to beneath the[…]

  20. Anal toys says:

    Anal toys

    […]Sites of interest we’ve a link to[…]

  21. rotating rabbit vibrator

    […]although web sites we backlink to beneath are considerably not connected to ours, we feel they’re in fact really worth a go by means of, so have a look[…]

  22. best glass dildo

    […]Wonderful story, reckoned we could combine a couple of unrelated data, nonetheless definitely really worth taking a appear, whoa did one particular master about Mid East has got additional problerms as well […]

  23. Butt plugs says:

    Butt plugs

    […]here are some links to web pages that we link to simply because we assume they’re really worth visiting[…]

  24. Dildo says:

    Dildo

    […]very couple of sites that come about to become comprehensive beneath, from our point of view are undoubtedly effectively worth checking out[…]

  25. bunny sex toy

    […]always a massive fan of linking to bloggers that I enjoy but do not get a lot of link really like from[…]

  26. quotations says:

    quotations

    […]we prefer to honor quite a few other net internet sites on the internet, even if they aren’t linked to us, by linking to them. Underneath are some webpages worth checking out[…]

  27. threesome advice

    […]one of our visitors just lately proposed the following website[…]

  28. best lube brands

    […]very handful of sites that occur to become detailed beneath, from our point of view are undoubtedly nicely really worth checking out[…]

  29. adam and eve says:

    adam and eve

    […]Here is a superb Blog You may Uncover Interesting that we Encourage You[…]

  30. middleweight martial arts gi

    […]very couple of websites that occur to be in depth below, from our point of view are undoubtedly effectively worth checking out[…]

  31. how cholesterol levels predict your health

    […]Here are a number of the web pages we advise for our visitors[…]

  32. php download script

    […]Wonderful story, reckoned we could combine a handful of unrelated information, nonetheless truly really worth taking a look, whoa did a single understand about Mid East has got a lot more problerms at the same time […]

  33. Florida says:

    Florida

    […]the time to study or visit the content or internet sites we’ve linked to below the[…]

  34. non-conforming

    […]the time to study or visit the material or internet sites we’ve linked to below the[…]

  35. Morse Code says:

    Morse Code

    […]the time to study or go to the content material or web pages we’ve linked to beneath the[…]

  36. engine oil pan

    […]just beneath, are many entirely not connected web-sites to ours, nonetheless, they are surely really worth going over[…]

  37. Tam Coc Ninh Binh

    […]Here is an excellent Blog You might Uncover Interesting that we Encourage You[…]

  38. ノロウイルス

    […]The information and facts mentioned within the report are some of the top offered […]

  39. express cargo

    […]Every after inside a though we decide on blogs that we study. Listed below would be the most up-to-date internet sites that we opt for […]

  40. inspekce jerabu

    […]Sites of interest we’ve a link to[…]

  41. Download Free DJ Stevie J Mixtapes

    […]Sites of interest we’ve a link to[…]

  42. Download Free MP3

    […]check below, are some completely unrelated internet sites to ours, nevertheless, they are most trustworthy sources that we use[…]

  43. pc games for windows xp

    […]below you’ll discover the link to some internet sites that we feel you’ll want to visit[…]

  44. بهترین وب سایت ایرانی

    Right here is an excellent Website You could Uncover Fascinating that we Encourage You

  45. proforce 6 oz black karate uniform

    […]we came across a cool internet site that you just may possibly love. Take a look when you want[…]

  46. male p spot says:

    male p spot

    […]one of our visitors a short while ago suggested the following website[…]

  47. emergency room glendale

    […]check below, are some entirely unrelated web-sites to ours, however, they are most trustworthy sources that we use[…]

  48. ترمیم مو به بهترین روش برای آقایان و ب…

    An effortless way that you can avert your hair from falling out is to therapeutic massage your scalp for five minutes everyday. Undertaking this aids blood flow to the scalp, which is essential in protecting against hair reduction. It is ideal for you…

  49. adam and eve sex toy shop

    […]here are some hyperlinks to sites that we link to since we think they’re worth visiting[…]

  50. dp sex toy says:

    dp sex toy

    […]just beneath, are numerous totally not related web sites to ours, having said that, they are surely really worth going over[…]

  51. buy adam and eve sex toys

    […]please pay a visit to the sites we follow, including this 1, because it represents our picks in the web[…]

  52. adult games says:

    adult games

    […]usually posts some very exciting stuff like this. If you’re new to this site[…]

  53. Juicy Jewels Precious Pink Vibrator

    […]one of our visitors recently proposed the following website[…]

  54. هولدینگ پویا

    below youll get the hyperlink to some world wide web internet sites that we come to feel you ought to pay a visit to

  55. vibrating bullet

    […]that is the finish of this report. Here you’ll come across some websites that we assume you’ll enjoy, just click the hyperlinks over[…]

  56. وب سایت فروش اپل ایدی معتبر آمریکا

    An Apple ID is the individual account you use to obtain Apple services like the App Retailer, iTunes Retailer, iCloud, iMessage, the Apple On the web Shop, FaceTime, and much more. It includes the email tackle and password you use to sign in, as nicely…

  57. red vibrating dildo

    […]Here is a good Weblog You may Find Intriguing that we Encourage You[…]

  58. وب سایت اجاره ویلا در شمال و رامسر و کر…

    A villa was originally an historic Roman upper-course nation residence. Considering that its origins in the Roman villa, the idea and operate of a villa have advanced considerably. After the fall of the Roman Republic, villas grew to become little farm…

  59. gay sex toys says:

    gay sex toys

    […]check beneath, are some absolutely unrelated sites to ours, having said that, they are most trustworthy sources that we use[…]

  60. adam and eve sex toys shop

    […]Sites of interest we have a link to[…]

  61. penis ring says:

    penis ring

    […]that may be the end of this post. Right here you’ll find some web-sites that we feel you’ll enjoy, just click the hyperlinks over[…]

  62. kala jadu says:

    kala jadu

    […]check beneath, are some totally unrelated internet websites to ours, nonetheless, they may be most trustworthy sources that we use[…]

  63. خرید اپل ایدی و ساخت apple id معتبر آمریکا

    An Apple ID is the personalized account you use to obtain Apple solutions like the Application Retailer, iTunes Keep, iCloud, iMessage, the Apple On the web Retailer, FaceTime, and more. It consists of the electronic mail address and password you use t…

  64. magnetic label tape

    […]Here is a good Blog You might Locate Intriguing that we Encourage You[…]

  65. temporary site protection

    […]although web-sites we backlink to beneath are considerably not connected to ours, we really feel they are in fact worth a go by way of, so have a look[…]

  66. خرید بهترین تردمیل خانگی

    A treadmill is a gadget normally for walking or working or climbing although remaining in the very same location. Treadmills had been introduced before the advancement of powered devices, to harness the power of animals or human beings to do operate, t…

  67. anti slip tape

    […]Wonderful story, reckoned we could combine a couple of unrelated information, nevertheless actually really worth taking a search, whoa did a single understand about Mid East has got far more problerms too […]

  68. black polythene

    […]Here are a number of the web pages we recommend for our visitors[…]

  69. the magic wand

    […]here are some hyperlinks to internet sites that we link to mainly because we believe they may be worth visiting[…]

  70. The Scene says:

    The Scene

    […]usually posts some quite intriguing stuff like this. If you’re new to this site[…]

  71. best male masturbator

    […]the time to study or take a look at the material or sites we have linked to beneath the[…]

  72. podcast says:

    podcast

    […]Wonderful story, reckoned we could combine a couple of unrelated data, nevertheless definitely really worth taking a search, whoa did 1 master about Mid East has got additional problerms too […]

  73. how do you use ben wa balls

    […]Sites of interest we’ve a link to[…]

  74. dirty sex says:

    dirty sex

    […]very handful of sites that transpire to become comprehensive beneath, from our point of view are undoubtedly well really worth checking out[…]

  75. خرید اپل ایدی

    […]although websites we backlink to below are considerably not connected to ours, we really feel they’re really really worth a go as a result of, so possess a look[…]

  76. PHP Programmer

    […]The data mentioned within the post are some of the very best out there […]

  77. whopper dong says:

    whopper dong

    […]although internet websites we backlink to beneath are considerably not associated to ours, we feel they are in fact really worth a go by way of, so possess a look[…]

  78. oral sex mints

    […]although websites we backlink to beneath are considerably not connected to ours, we really feel they are in fact worth a go as a result of, so possess a look[…]

  79. bullet egg vibrator

    […]below you will discover the link to some internet sites that we believe you need to visit[…]

  80. where to buy pocket vibrator

    […]below you will uncover the link to some websites that we feel you must visit[…]

  81. cheap stocks says:

    cheap stocks

    […]check below, are some entirely unrelated web-sites to ours, on the other hand, they may be most trustworthy sources that we use[…]

  82. خرید vpn پرسرعت برای کامپیوتر و موبایل

    A digital non-public network (VPN) extends a personal community across a community community, and permits customers to send out and receive knowledge throughout shared or general public networks as if their computing devices were straight related to th…

  83. japanese manga

    […]below you will locate the link to some web pages that we feel you should visit[…]

  84. XXL Boxing punching bag

    […]just beneath, are many completely not related websites to ours, on the other hand, they are certainly really worth going over[…]

  85. make me cum cream

    […]check below, are some completely unrelated sites to ours, however, they’re most trustworthy sources that we use[…]

  86. gay toys says:

    gay toys

    […]usually posts some very intriguing stuff like this. If you are new to this site[…]

  87. adam and eve says:

    adam and eve

    […]please check out the web-sites we comply with, such as this one, as it represents our picks through the web[…]

  88. fantasy wear says:

    fantasy wear

    […]here are some hyperlinks to web sites that we link to because we think they may be really worth visiting[…]

  89. کفسابی says:

    دوربین مداربسته تهران

    below you will uncover the link to some sites that we believe you should visit

  90. طراحی سایت

    Thanks for the article.Thanks Again. Fantastic.

  91. Minikert says:

    Minikert

    […]The data talked about within the post are a number of the top offered […]

  92. tratamento de Dependência Química

    […]here are some hyperlinks to websites that we link to because we think they may be really worth visiting[…]

  93. web site says:

    web site

    […]here are some hyperlinks to internet sites that we link to mainly because we think they’re worth visiting[…]

  94. Super Head Honcho Masturbator

    […]the time to study or visit the material or web sites we have linked to beneath the[…]

  95. adam and eve sex toys

    […]Sites of interest we’ve a link to[…]

  96. adamandeve says:

    adamandeve

    […]Wonderful story, reckoned we could combine a handful of unrelated data, nevertheless definitely worth taking a look, whoa did one particular learn about Mid East has got much more problerms at the same time […]

  97. best stock alerts

    […]that is the finish of this post. Right here you’ll come across some websites that we feel you will value, just click the links over[…]

  98. Machined says:

    Machined

    […]we came across a cool web page that you simply may enjoy. Take a look if you want[…]

  99. penis pump review

    […]Sites of interest we have a link to[…]

  100. What are Ben Wa Balls

    […]Sites of interest we have a link to[…]

  101. Best Male Stroker

    […]below you will discover the link to some web sites that we feel you need to visit[…]

  102. femalelibidoreviews

    […]check below, are some absolutely unrelated internet websites to ours, even so, they may be most trustworthy sources that we use[…]

  103. vibrating dildo

    […]the time to study or go to the material or web-sites we’ve linked to beneath the[…]

  104. Best Vibrator Review

    […]please visit the websites we follow, which includes this one particular, as it represents our picks from the web[…]

  105. cheap vibrator

    […]please check out the internet sites we stick to, such as this a single, as it represents our picks through the web[…]

  106. best male masturbater

    […]that could be the end of this write-up. Here you will locate some web pages that we believe you’ll appreciate, just click the links over[…]

  107. womens glass sex toy

    […]although internet websites we backlink to below are considerably not related to ours, we really feel they’re truly worth a go through, so have a look[…]

  108. using sex toys in public

    […]Here are a few of the internet sites we advocate for our visitors[…]

  109. anal toy says:

    anal toy

    […]check beneath, are some absolutely unrelated web sites to ours, on the other hand, they are most trustworthy sources that we use[…]

  110. games for windows pc download

    […]Here is a superb Weblog You may Locate Exciting that we Encourage You[…]

  111. Inland Empire Ca

    […]Wonderful story, reckoned we could combine a couple of unrelated data, nonetheless actually really worth taking a look, whoa did one particular understand about Mid East has got a lot more problerms at the same time […]

  112. probiotic sauerkraut kvass

    […]the time to study or check out the material or web-sites we’ve linked to beneath the[…]

  113. pc app says:

    pc app

    […]check below, are some completely unrelated internet websites to ours, even so, they’re most trustworthy sources that we use[…]

  114. free download for pc

    […]Wonderful story, reckoned we could combine a handful of unrelated information, nevertheless seriously worth taking a search, whoa did one particular learn about Mid East has got much more problerms as well […]

  115. anal kit says:

    anal kit

    […]just beneath, are various entirely not associated web-sites to ours, nevertheless, they are certainly really worth going over[…]

  116. fermented pickles

    […]usually posts some quite exciting stuff like this. If you are new to this site[…]

  117. sexy lingerie

    […]Wonderful story, reckoned we could combine several unrelated data, nevertheless truly worth taking a look, whoa did one find out about Mid East has got far more problerms at the same time […]

  118. collegehumor says:

    collegehumor

    […]we came across a cool web-site that you may well take pleasure in. Take a search for those who want[…]

  119. different types of dildos

    […]although internet websites we backlink to beneath are considerably not related to ours, we really feel they are essentially worth a go via, so have a look[…]

  120. sell products online

    […]just beneath, are many absolutely not connected internet sites to ours, having said that, they are surely worth going over[…]

  121. Macho Stallion Erection Keeper

    […]usually posts some extremely exciting stuff like this. If you are new to this site[…]

  122. queer says:

    queer

    […]Every the moment in a while we opt for blogs that we study. Listed beneath are the latest websites that we select […]

  123. adobe creative cloud 2017

    […]very few internet sites that happen to become in depth beneath, from our point of view are undoubtedly well worth checking out[…]

  124. pipedream extreme

    […]one of our visitors not too long ago suggested the following website[…]

  125. Cambodia men’s short sleeve shirts Factory

    […]please stop by the web-sites we follow, including this a single, as it represents our picks from the web[…]

  126. make penis harder

    […]one of our visitors not long ago encouraged the following website[…]

  127. Penis Ring says:

    Penis Ring

    […]Every the moment in a although we pick out blogs that we study. Listed below would be the most up-to-date web-sites that we opt for […]

  128. Penis Pump says:

    Penis Pump

    […]Every the moment in a whilst we pick blogs that we study. Listed below would be the newest web-sites that we opt for […]

  129. best g spot massager

    […]very couple of web-sites that happen to become comprehensive beneath, from our point of view are undoubtedly very well really worth checking out[…]

  130. Thrusting Sex Toy

    […]Sites of interest we’ve a link to[…]

  131. lovehoney says:

    lovehoney

    […]just beneath, are quite a few entirely not related sites to ours, however, they’re surely really worth going over[…]

  132. jbeatz says:

    jbeatz

    […]Here are some of the web-sites we advise for our visitors[…]

  133. adam and eve sex toy

    […]very couple of websites that occur to become comprehensive below, from our point of view are undoubtedly effectively worth checking out[…]

  134. adam and eve says:

    adam and eve

    […]Sites of interest we’ve a link to[…]

  135. analvibrator says:

    analvibrator

    […]we came across a cool site that you just may possibly appreciate. Take a look when you want[…]

  136. destiny says:

    destiny

    […]Every when inside a even though we select blogs that we study. Listed below would be the most up-to-date web-sites that we select […]

  137. sex toys says:

    sex toys

    […]please take a look at the sites we stick to, which includes this one particular, as it represents our picks from the web[…]

  138. vibe ring says:

    vibe ring

    […]one of our visitors not long ago encouraged the following website[…]

  139. دوربین مداربسته

    […]very handful of internet websites that occur to become comprehensive below, from our point of view are undoubtedly effectively really worth checking out[…]

  140. ABS Module Intercooler

    […]the time to study or pay a visit to the material or web-sites we have linked to beneath the[…]

  141. Google says:

    Google

    Here are some of the websites we suggest for our visitors.

  142. Google says:

    Google

    One of our visitors not too long ago encouraged the following website.

  143. binary trading

    […]that will be the end of this report. Right here you’ll find some internet sites that we consider you will value, just click the links over[…]

  144. all forex brokers

    […]Here is a good Weblog You may Uncover Intriguing that we Encourage You[…]

  145. free bonus no deposit

    […]check below, are some entirely unrelated web sites to ours, however, they are most trustworthy sources that we use[…]

  146. forex trading

    […]Sites of interest we have a link to[…]

  147. Barcode kaufen

    […]here are some links to sites that we link to since we think they may be worth visiting[…]

  148. 他媽的 says:

    …Recommended websites

    […]Excellent blog here! Also your site so much up fast![…]

Leave a comment