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# Which is greater \sqrt60/\sqrt15 or 4

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Which is greater \sqrt60/\sqrt15 or 4 [#permalink]  12 Aug 2019, 02:03
Expert's post
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Question Stats:

86% (00:11) correct 13% (00:39) wrong based on 29 sessions
 Quantity A Quantity B $$\frac{\sqrt{60}}{\sqrt{15}}$$ $$4$$

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.
[Reveal] Spoiler: OA

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Kudos [?]: 2953 [1] , given: 45

Re: Which is greater \sqrt60/\sqrt15 or 4 [#permalink]  12 Aug 2019, 09:18
1
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Expert's post
Carcass wrote:
 Quantity A Quantity B $$\frac{\sqrt{60}}{\sqrt{15}}$$ $$4$$

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.

Useful root property: $$\frac{\sqrt{x}}{\sqrt{y}}=\sqrt{\frac{x}{y}}$$

Given:
Quantity A: $$\frac{\sqrt{60}}{\sqrt{15}}$$

Quantity B: $$4$$

Apply above property to Quantity A to get:
Quantity A: $$\sqrt{\frac{60}{15}}$$

Quantity B: $$4$$

Simplify Quantity A to get:
Quantity A: $$\sqrt{4}=2$$

Quantity B: $$4$$

4 > 2

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Intern
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Re: Which is greater \sqrt60/\sqrt15 or 4 [#permalink]  17 Aug 2019, 02:10
1
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For A, sqrt(60) / sqrt(15) =sqrt(60/15) =sqrt(4) =2

So ANS is B
Intern
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Re: Which is greater \sqrt60/\sqrt15 or 4 [#permalink]  25 Aug 2019, 08:18
B
Re: Which is greater \sqrt60/\sqrt15 or 4   [#permalink] 25 Aug 2019, 08:18
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