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# compare square root of 9 and cube root of 27

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1912 [0], given: 397

compare square root of 9 and cube root of 27 [#permalink]  22 Apr 2018, 13:59
Expert's post
00:00

Question Stats:

92% (00:17) correct 7% (00:16) wrong based on 13 sessions
 Quantity A Quantity B $$-\sqrt{9}$$ $$\sqrt[3]{-27}$$

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.

Drill 1
Question: 10
Page: 354
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1912 [0], given: 397

Re: compare square root of 9 and cube root of 27 [#permalink]  22 Apr 2018, 14:15
Expert's post
Explanation

In Quantity A, evaluate the root first, then attach the minus sign: $$-\sqrt{9}=-3$$ ; this is equivalent to Quantity B: $$\sqrt[3]{-27}=-3$$. Thus, the answer is choice (C).
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Sandy
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Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 79 [0], given: 99

Re: compare square root of 9 and cube root of 27 [#permalink]  16 May 2018, 01:57
sandy wrote:
Explanation

In Quantity A, evaluate the root first, then attach the minus sign: $$-\sqrt{9}=-3$$ ; this is equivalent to Quantity B: $$\sqrt[3]{-27}=-3$$. Thus, the answer is choice (C).

Dear Sandy,

I got the answer right however I dont understand why have you used - sign? Will be thankful if you can elaborate a bit.
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1912 [0], given: 397

Re: compare square root of 9 and cube root of 27 [#permalink]  16 May 2018, 03:06
Expert's post
IshanGre wrote:

Dear Sandy,

I got the answer right however I dont understand why have you used - sign? Will be thankful if you can elaborate a bit.

My apologies the question was typed in wrong. Fixed it

Please note that $$\sqrt{xx}$$ sign always means positive root.
_________________

Sandy
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Re: compare square root of 9 and cube root of 27   [#permalink] 16 May 2018, 03:06
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