Find all School-related info fast with the new School-Specific MBA Forum

It is currently 02 Aug 2015, 16:29
GMAT Club Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Square root ?? Doubt

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 06 Apr 2011
Posts: 18
Followers: 0

Kudos [?]: 3 [0], given: 4

Square root ?? Doubt [#permalink] New post 29 Jul 2012, 05:52
If Sqrt(x) is an Integer.can x be Non integer ??
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28782
Followers: 4595

Kudos [?]: 47530 [0], given: 7123

Re: Square root ?? Doubt [#permalink] New post 29 Jul 2012, 06:07
Expert's post
riteshv wrote:
If Sqrt(x) is an Integer.can x be Non integer ??


The answer is NO.

Given: \(\sqrt{x}=integer\) --> square this equation: \(x=integer^2\). Now, since \(integer^2\) is always an integer then \(x=integer^2=integer\). So, \(\sqrt{x}=integer\) means that \(x\) must be an integer.

P.S. Please post general math questions in General Math forum.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

GMAT Pill Representative
User avatar
Joined: 25 Jun 2012
Posts: 56
Followers: 13

Kudos [?]: 19 [0], given: 2

Re: Square root ?? Doubt [#permalink] New post 30 Jul 2012, 16:07
Simply put - an integer multiplied by another integer will always give you an integer. If you want to get something that's not an integer, you're going to have to add a factor that's not an integer - something that is a fraction, or is irrational, and such.

Therefore, if rt(x) is an integer, then x is an integer.
_________________

Hi, I'm DonQuixote, a former GMAT Pill student who scored 780. I'm very grateful for this score and have now joined their staff :) My account of my GMAT experience can be found here.

Re: Square root ?? Doubt   [#permalink] 30 Jul 2012, 16:07
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic What is Square root of x squared Blackbox 2 07 Oct 2014, 23:20
3 Experts publish their posts in the topic Range of a 1 element set? and square root doubt Sachin9 4 19 Feb 2013, 07:09
3 Experts publish their posts in the topic Which of the following is equal to 1/[(3^(1/2)-2^(1/2))^1/2] kwhitejr 3 04 Aug 2010, 02:56
Experts publish their posts in the topic Square roots Jinglander 2 31 Jul 2010, 13:45
4 GMATPrep - Square root question miccarlo 7 05 Aug 2008, 20:45
Display posts from previous: Sort by

Square root ?? Doubt

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.