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# If n=root(16/81), what is the value of root(n)?

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Math Expert
Joined: 02 Sep 2009
Posts: 58417
If n=root(16/81), what is the value of root(n)?  [#permalink]

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09 Jul 2012, 03:27
1
9
00:00

Difficulty:

5% (low)

Question Stats:

84% (00:29) correct 16% (00:32) wrong based on 1232 sessions

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If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

Diagnostic Test
Question: 17
Page: 22
Difficulty: 550

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Math Expert
Joined: 02 Sep 2009
Posts: 58417
Re: If n=root(16/81), what is the value of root(n)?  [#permalink]

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09 Jul 2012, 03:28
2
SOLUTION

If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

$$n=\sqrt{\frac{16}{81}}=\frac{4}{9}$$. So, $$\sqrt{n}=\sqrt{\frac{4}{9}}=\frac{2}{3}$$.

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Re: If n=root(16/81), what is the value of root(n)?  [#permalink]

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09 Jul 2012, 06:23
Bunuel wrote:
If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

Hi,

Difficulty level: 550,

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Status: It's near - I can see.
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Re: If n=root(16/81), what is the value of root(n)?  [#permalink]

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23 Mar 2018, 00:51
Bunuel wrote:
If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

Diagnostic Test
Question: 17
Page: 22
Difficulty: 550

$$\sqrt{{\frac{16}{81}}}$$

Therefore n =$$\frac{4}{3}$$

and $$\sqrt{n}$$ = $$\sqrt{{\frac{4}{9}}}$$

$$\frac{2}{3}$$

(D)
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If n=root(16/81), what is the value of root(n)?  [#permalink]

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23 Mar 2018, 10:14
Bunuel wrote:
If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

Diagnostic Test
Question: 17
Page: 22
Difficulty: 550

Pretty straightforward question:
$$n=\sqrt{\frac{16}{81}} = \frac{4}{9}$$

$$\sqrt{n} = \sqrt{\frac{4}{9}} = \frac{2}{3} (D)$$
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Posts: 2816
Re: If n=root(16/81), what is the value of root(n)?  [#permalink]

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26 Mar 2018, 17:41
Bunuel wrote:
If $$n=\sqrt{\frac{16}{81}}$$, what is the value of $$\sqrt{n}$$?

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

Since n = √(16/81) = √16/√81 = 4/9, we see that √n = √(4/9) = √4/√9 = 2/3.

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If n=root(16/81), what is the value of root(n)?  [#permalink]

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06 May 2019, 01:44
n=√16/81

=>n=4/9

=>√n=√4/9 [√ both side]

=>√n=2/3

Posted from my mobile device
If n=root(16/81), what is the value of root(n)?   [#permalink] 06 May 2019, 01:44
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