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# Which is greater \sqrt38 + \sqrt45 or 12

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Which is greater \sqrt38 + \sqrt45 or 12 [#permalink]  27 Feb 2019, 00:46
Expert's post
00:00

Question Stats:

86% (00:12) correct 13% (00:46) wrong based on 23 sessions
 Quantity A Quantity B $$\sqrt{38}$$ + $$\sqrt{45}$$ 12

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Manager
Joined: 04 Feb 2019
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Re: Which is greater \sqrt38 + \sqrt45 or 12 [#permalink]  09 Mar 2019, 11:49
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Expert's post
$$\sqrt{36}$$ = 6

Hence, both $$\sqrt{38}$$ and $$\sqrt{45}$$ are greater than 6. This means that $$\sqrt{38}$$ + $$\sqrt{45}$$ is greater than 12.
GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 2850 [2] , given: 45

Re: Which is greater \sqrt38 + \sqrt45 or 12 [#permalink]  14 May 2019, 08:44
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Expert's post
Carcass wrote:
 Quantity A Quantity B $$\sqrt{38}$$ + $$\sqrt{45}$$ 12

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

We know that:
√36 = 6
√49 = 7

Since 38 is BETWEEN 36 and 49, we know that √38 must be BETWEEN 6 and 7
So, we can say √38 = 6.something

Likewise, since 45 is BETWEEN 36 and 49, we know that √45 must be BETWEEN 6 and 7
So, we can say √45 = 6.something

We get:
QUANTITY A: 6.something + 6.something
QUANTITY B: 12

Quantity A is greater.

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: Which is greater \sqrt38 + \sqrt45 or 12   [#permalink] 14 May 2019, 08:44
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