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900 or sqrt30303030

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Carcass
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900 or sqrt30303030 [#permalink] New post   20 Jul 2020, 05:14
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89% (00:11) correct 10% (00:23) wrong based on 64 sessions

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Quantity A
Quantity B
\(900\)
\(\sqrt{30 \times 30 \times 30 \times 30}\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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C
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Carcass
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Re: 900 or sqrt30303030 [#permalink] New post   20 Jul 2020, 05:15
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Re: 900 or sqrt30303030 [#permalink] New post   20 Jul 2020, 06:37
If given in pairs in under root we take one out
so out of root it would be 30 * 30 = 900 which is Quantity A and B
so answer is C
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Re: 900 or sqrt30303030 [#permalink] New post   25 Jul 2020, 10:28
Carcass wrote:
Quantity A
Quantity B
\(900\)
\(\sqrt{30 \times 30 \times 30 \times 30}\)



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


This trick here is to remember that the solution of a square root can be positive or negative. Therefore, Quantity B could equal 900 (in which case the quantities are equal) or -900 (in which case A is greater). The relationship cannot be determined - D is the correct answer.
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Re: 900 or sqrt30303030 [#permalink] New post   29 Oct 2020, 02:19
Value under the square root can be written as 30^4
√30^4 = 30^2
=900

pick c
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