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Moderator  Joined: 18 Apr 2015
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sqrt75 - sqrt27 [#permalink]
Expert's post 00:00

Question Stats: 76% (00:53) correct 23% (00:44) wrong based on 21 sessions

 Quantity A Quantity B $$\sqrt{75} - \sqrt{27}$$ $$\sqrt{10}$$

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.

Kudos for right answer and explanation
[Reveal] Spoiler: OA

_________________ Manager Joined: 02 Jan 2018
Posts: 66
Followers: 0

Kudos [?]: 30  , given: 0

Re: sqrt75 - sqrt27 [#permalink]
1
KUDOS
Quantity A is greater
As \sqrt{75}-\sqrt{27}
2\sqrt{3}
3.464

Whereas \sqrt{10} <3.4
Moderator  Joined: 18 Apr 2015
Posts: 5877
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: sqrt75 - sqrt27 [#permalink]
Expert's post
wrap them up with the m code.

regards
_________________ Intern Joined: 18 May 2016
Posts: 35
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Kudos [?]: 15  , given: 13

Re: sqrt75 - sqrt27 [#permalink]
1
KUDOS
Quantity A should be bigger:
A can be rewritten to sqr(3)*2 which is approximately 3.5 (I try to memorize square roots up to 10) while Quantity B is approximately 3.
Intern Joined: 24 Jan 2018
Posts: 31
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Kudos [?]: 4 , given: 8

Re: sqrt75 - sqrt27 [#permalink]
A
Director Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Kudos [?]: 603 , given: 124

Re: sqrt75 - sqrt27 [#permalink]
Carcass wrote:

 Quantity A Quantity B $$\sqrt{75} - \sqrt{27}$$ $$\sqrt{10}$$

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.

Here
Qty A

$$\sqrt{75} - \sqrt{27}$$

=$$5\sqrt{3}$$ - $$3\sqrt{3}$$
=$$2\sqrt{3}$$
nearly = 3.4 (since $$\sqrt{3}$$ = 1.728)

Now for Qty B

$$\sqrt{10}$$
we know 9 is the nearest sq value to 10

so square root of 9 = 3

and so square root of 10 = nearly close to 3

Hence qty A> QTy B.

It will be benefit if we know the square root value atleast till 5
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Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
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Kudos [?]: 78 , given: 99

Re: sqrt75 - sqrt27 [#permalink]
I used a banal way of solving the problem , I used the dreaded calculator got the answer in 50 sec. its A Re: sqrt75 - sqrt27   [#permalink] 17 May 2018, 23:59
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