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OG Square root of 16/81

This topic has 5 expert replies and 2 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Square root of 16/81

Post Tue Jul 25, 2017 8:14 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D

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    Post Tue Jul 25, 2017 10:31 pm
    AbeNeedsAnswers wrote:
    If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D
    We have n = (16/81)^(1/2) = (4^2/9^2)^(1/2) = 4/9

    n^(1/2) = (4/9)^(1/2)
    n^(1/2) = (2^2/3^2)^(1/2) = 2/3

    The correct answer: D

    Hope this helps!

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    Jabs80 Newbie | Next Rank: 10 Posts
    Joined
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    Posted:
    2 messages
    Post Tue Jul 25, 2017 11:48 pm
    AbeNeedsAnswers wrote:
    If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D
    4/9

    Jabs80 Newbie | Next Rank: 10 Posts
    Joined
    25 Jul 2017
    Posted:
    2 messages
    Post Tue Jul 25, 2017 11:49 pm
    [quote="Jabs80"][quote="AbeNeedsAnswers"]If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D[/quote

    2/3

    Post Wed Jul 26, 2017 4:11 am
    Note also that when you take the root of a fraction between 0 and 1, the value of the fraction increases and moves closer to 1.
    If n = 4/9, then √ (4/9) must be between 4/9 and 1. The only value in that range is 2/3. (Not that it's terribly difficult to find √ 4 and √ 9, but this property is helpful if you're given, say, √ .6.)

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    Post Wed Jul 26, 2017 6:58 pm
    Jabs80 wrote:
    AbeNeedsAnswers wrote:
    If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D
    4/9
    Hi Jabs80,

    It looks like you caught your error, which is good. As you continue to study, you have to be mindful that the 4 wrong answers to any GMAT question are rarely 'random' - and some of those answers can be answers to DIFFERENT questions (so you have to be careful and make sure that you're answering the question that is ASKED). Here, while Answer C is the value of N, that is not what this question is asking for.

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    Rich

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    Post Mon Aug 14, 2017 11:51 am
    AbeNeedsAnswers wrote:
    If n = (16/81)^(1/2), what is the value of n^(1/2)?

    (A) 1/9
    (B) 1/4
    (C) 4/9
    (D) 2/3
    (E) 9/2

    D
    We can simplify the given equation:

    n = (16/81)^(1/2)

    n = 4/9

    Thus, n^(1/2) = 4/9^(1/2) = 2/3.

    Answer: D

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    Post Fri Aug 18, 2017 2:14 pm
    The half power is the same as the square root, so for legibility's sake let's write:

    n = √16/81

    n = 4/9

    From here, √n = √4/9 = 2/3.

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