It is currently 07 Dec 2019, 16:41

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Which is greater 2/^3sqrt6 + 3/^3sqrt6

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 8961
Followers: 178

Kudos [?]: 2116 [0], given: 8305

Which is greater 2/^3sqrt6 + 3/^3sqrt6 [#permalink]  29 Nov 2019, 02:47
Expert's post
00:00

Question Stats:

63% (01:28) correct 36% (01:32) wrong based on 22 sessions
 Quantity A Quantity B $$\frac{2}{\sqrt[3]{6}} + \frac{3}{\sqrt[3]{6}}$$ $$\frac{\sqrt[3]{6}}{2} + \frac{\sqrt[3]{6}}{3}$$

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.

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern
Joined: 05 Oct 2019
Posts: 26
Followers: 0

Kudos [?]: 24 [1] , given: 16

Re: Which is greater 2/^3sqrt6 + 3/^3sqrt6 [#permalink]  29 Nov 2019, 18:44
1
KUDOS
Since there is no negative sign involved multiple both sides by the cube root of 6.
QA resolves to 5
QB becomes 5/cuberoot(6), since cuberoot(6)>1. QB <QA (thus option A)
Intern
Joined: 26 Nov 2019
Posts: 21
Followers: 0

Kudos [?]: 18 [1] , given: 0

Re: Which is greater 2/^3sqrt6 + 3/^3sqrt6 [#permalink]  29 Nov 2019, 19:18
1
KUDOS
I like the answer given by user Luffy, just an alternative solution here.

A: sum it and its results to 5/cuberoot(6). hold it there, we'll check quantity B.
B: cross multiply and solving gives 5/[cuberoot(6)*cueroot(6)].

Now, as cuberoot(6) >1, cuberoot(6)<[cuberoot(6)*cuberoot(6)] and these values go in the denominator, so 1/cuberoot(6) > 1/[cuberoot(6)*cuberoot(6)].
From this we can conclude that A > B, so the correct answer is option A.
Intern
Joined: 09 Dec 2018
Posts: 30
Followers: 0

Kudos [?]: 16 [1] , given: 15

Re: Which is greater 2/^3sqrt6 + 3/^3sqrt6 [#permalink]  30 Nov 2019, 16:56
1
KUDOS
Yet another answer: cuberoot (6) <2, so in A, the numberators are bigger than the denominator. In B, the denominators are bigger.

1/big = small, and 1/small = big
Re: Which is greater 2/^3sqrt6 + 3/^3sqrt6   [#permalink] 30 Nov 2019, 16:56
Display posts from previous: Sort by