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# Compare the value

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 [0], given: 397

Compare the value [#permalink]  29 Apr 2018, 00:36
Expert's post
00:00

Question Stats:

83% (00:07) correct 16% (00:20) wrong based on 12 sessions
 Quantity A Quantity B $$\sqrt{\frac{1}{4^2}}$$ $$\frac{1}{4}$$

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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Sandy
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Manager
Joined: 26 Jan 2018
Posts: 182
Followers: 0

Kudos [?]: 110 [0], given: 3

Re: Compare the value [#permalink]  04 May 2018, 04:03
square root of 1 = square of 1 =1. Hence we can ignore what happens to 1. As 4 undergoes same operation in both A and B, answer is C
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 [0], given: 397

Re: Compare the value [#permalink]  13 May 2018, 15:36
Expert's post
Explanation

Simplify Quantity A: $$\sqrt{\frac{1}{4^2}}=\frac{\sqrt{1}}{\sqrt{4^2}}=\frac{1}{4}$$. The answer is choice (C).
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Sandy
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Re: Compare the value   [#permalink] 13 May 2018, 15:36
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