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sqrt75 - sqrt27

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sqrt75 - sqrt27 [#permalink] New post 23 Jan 2018, 14:48
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Question Stats:

72% (00:58) correct 27% (00:44) wrong based on 18 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.

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[Reveal] Spoiler: OA

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Re: sqrt75 - sqrt27 [#permalink] New post 24 Jan 2018, 02:46
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Quantity A is greater
As \sqrt{75}-\sqrt{27}
2\sqrt{3}
3.464

Whereas \sqrt{10} <3.4
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Re: sqrt75 - sqrt27 [#permalink] New post 24 Jan 2018, 03:47
Expert's post
wrap them up with the m code.

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Re: sqrt75 - sqrt27 [#permalink] New post 24 Jan 2018, 10:51
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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.
-->Answer A
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Re: sqrt75 - sqrt27 [#permalink] New post 26 Jan 2018, 11:59
A
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Re: sqrt75 - sqrt27 [#permalink] New post 27 Jan 2018, 04:03
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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Re: sqrt75 - sqrt27 [#permalink] New post 17 May 2018, 23:59
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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