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Nice fast way??

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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Nice fast way??

Post Mon Apr 25, 2016 2:37 pm
Which of the following is the value of squareroot[cuberoot(0.000064)]?

A) 0.004
B) 0.008
C) 0.02
D) 0.04
E) 0.2

Answer: E

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Post Wed Apr 27, 2016 2:12 pm
I'd think of it as

.000064^(1/2 * 1/3) =>

.000064^(1/6)

Since 2⁶ = 64, this suggests that the answer is .02 or .2. Then we might notice that .000064 has SIX decimal places. .2⁶ will also have six decimal places, so that MUST be our answer!

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Post Mon Apr 25, 2016 3:36 pm
boomgoesthegmat wrote:
Which of the following is the value of squareroot[cuberoot(0.000064)]?

A) 0.004
B) 0.008
C) 0.02
D) 0.04
E) 0.2
Another approach:

√[∛(0.000064)] = √[∛(64/1,000,000)]
= √[(4/100)]
= 2/10
= 0.2
= C

Here are some related resources that cover the concepts needed to solve this question:
- Conversions with fractions and decimals: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1066
- Introduction to square roots: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1033
- Other roots: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1035

Cheers,
Brent

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Post Mon Apr 25, 2016 2:58 pm
boomgoesthegmat wrote:
Which of the following is the value of squareroot[cuberoot(0.000064)]?

A) 0.004
B) 0.008
C) 0.02
D) 0.04
E) 0.2
[ (0.000064)^(1/3) ]^1/2

= (64 * 10¯⁶)^(1/6)

= (64)^(1/6) * (10¯⁶)^(1/6)

= 2 * 10¯¹

= 0.2

The correct answer is E.

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