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Register now and save up to $200 Available with Beat the GMAT members only code • Reach higher with Artificial Intelligence. Guaranteed Now free for 30 days Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code ## OG Square root of 16/81 This topic has 6 expert replies and 2 member replies AbeNeedsAnswers Master | Next Rank: 500 Posts Joined 02 Jul 2017 Posted: 192 messages Followed by: 2 members Upvotes: 1 #### OG Square root of 16/81 Tue Jul 25, 2017 8:14 pm 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 ### GMAT/MBA Expert Scott@TargetTestPrep GMAT Instructor Joined 25 Apr 2015 Posted: 891 messages Followed by: 6 members Upvotes: 43 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 _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Matt@VeritasPrep GMAT Instructor Joined 12 Sep 2012 Posted: 2637 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 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 = âˆš16/81 n = 4/9 From here, âˆšn = âˆš4/9 = 2/3. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Jay@ManhattanReview GMAT Instructor Joined 22 Aug 2016 Posted: 1026 messages Followed by: 22 members Upvotes: 470 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! Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Singapore | Doha | Lausanne | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. Jabs80 Newbie | Next Rank: 10 Posts Joined 25 Jul 2017 Posted: 2 messages 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 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 ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 120 members Upvotes: 1153 GMAT Score: 770 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 âˆš (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 âˆš 4 and âˆš 9, but this property is helpful if you're given, say, âˆš .6.) _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
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Wed Jul 26, 2017 6:58 pm
Jabs80 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.

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
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Posted:
9316 messages
Followed by:
478 members
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GMAT Score:
800
Mon Feb 19, 2018 8:27 pm
Hi All,

When taking the square root of a fraction, you must take the square root of the numerator and the square root of the denominator.

Here, the square root of 16/81 = 4/9

We're then asked to calculate the square root of 4/9.... and that would be 2/3

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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