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Nice fast way??

This topic has 3 expert replies and 0 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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Nice fast way??

Post Mon Apr 25, 2016 2:37 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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 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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    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 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!

    Thanked by: boomgoesthegmat
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