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# Is (a^2 + b^2)^1/2 an integer

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Manager
Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
Is (a^2 + b^2)^1/2 an integer  [#permalink]

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Updated on: 05 Jul 2017, 00:14
1
2
00:00

Difficulty:

65% (hard)

Question Stats:

56% (01:29) correct 44% (01:14) wrong based on 48 sessions

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Is $$\sqrt{a^2+b^2}$$ an integer?

(1) $$a^2 + b^2$$ is an integer.
(2) $$a^2 – 3b^2$$ = 0

This is actually an edit from https://gmatclub.com/forum/if-b-is-an-i ... 10077.html. I made the mistake of forgetting about the part of the question that said b is an integer and of course answered the question wrong. I want to know the correct choice if the original question didn't mention b as an integer, just like I posted above.

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Originally posted by jedit on 04 Jul 2017, 23:40.
Last edited by Bunuel on 05 Jul 2017, 00:14, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: Is (a^2 + b^2)^1/2 an integer  [#permalink]

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04 Jul 2017, 23:50
1
jedit wrote:
Is $$\sqrt{a^2+b^2}$$ an integer?

(1) $$a^2 + b^2$$ is an integer.
(2) $$a^2 – 3b^2$$ = 0

This is actually an edit from https://gmatclub.com/forum/if-b-is-an-i ... 10077.html. I made the mistake of forgetting about the part of the question that said b is an integer and of course answered the question wrong. I want to know the correct choice if the original question didn't mention b as an integer, just like I posted above.

If a = b = 0, then the asnwer is YES.
If $$a = \sqrt{6}$$ and $$b = \sqrt{2}$$, then the answer is NO.
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Manager
Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
Re: Is (a^2 + b^2)^1/2 an integer  [#permalink]

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05 Jul 2017, 00:00
Bunuel wrote:
jedit wrote:
Is $$\sqrt{a^2+b^2}$$ an integer?

(1) $$a^2 + b^2$$ is an integer.
(2) $$a^2 – 3b^2$$ = 0

This is actually an edit from https://gmatclub.com/forum/if-b-is-an-i ... 10077.html. I made the mistake of forgetting about the part of the question that said b is an integer and of course answered the question wrong. I want to know the correct choice if the original question didn't mention b as an integer, just like I posted above.

If a = b = 0, then the asnwer is YES.
If $$a = \sqrt{6}$$ and $$b = \sqrt{2}$$, then the answer is NO.

I also thought E was the answer but did not post it as a question since I did not want to pose expert. Thank you for confirming and for adding OA, that would have been my next request. Kudos.
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Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!
Re: Is (a^2 + b^2)^1/2 an integer   [#permalink] 05 Jul 2017, 00:00
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