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compare square root of 9 and cube root of 27

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1626 [0], given: 389

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

Question Stats:

90% (00:16) correct 10% (00:16) wrong based on 10 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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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1626 [0], given: 389

CAT Tests
Re: compare square root of 9 and cube root of 27 [#permalink] New post 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
Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 77 [0], given: 99

Re: compare square root of 9 and cube root of 27 [#permalink] New post 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.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1626 [0], given: 389

CAT Tests
Re: compare square root of 9 and cube root of 27 [#permalink] New post 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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