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# If (x/3)^(1/2) = 3, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 56307
If (x/3)^(1/2) = 3, then x =  [#permalink]

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21 Mar 2018, 22:53
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Difficulty:

5% (low)

Question Stats:

94% (00:23) correct 6% (01:15) wrong based on 48 sessions

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If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

(B) $$\sqrt{3}$$

(C) 6

(D) 9

(E) 27

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Joined: 26 Feb 2016
Posts: 3359
Location: India
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Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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21 Mar 2018, 23:28
Bunuel wrote:
If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

(B) $$\sqrt{3}$$

(C) 6

(D) 9

(E) 27

Given: $$\sqrt{\frac{x}{3}} = 3$$

Squaring on both sides, $$\frac{x}{3} = 3^2$$

Therefore, x = $$3^3 = 27$$ (Option E)
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Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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22 Mar 2018, 00:19
Bunuel wrote:
If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

(B) $$\sqrt{3}$$

(C) 6

(D) 9

(E) 27

Squaring both sides,

x/3=9
x=27
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Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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23 Mar 2018, 12:44
Bunuel wrote:
If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

(B) $$\sqrt{3}$$

(C) 6

(D) 9

(E) 27

Squaring both sides of the equation, we have:

x/3 = 3^2

x/3 = 9

x = 27

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Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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24 Mar 2018, 08:33
Bunuel wrote:
If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

(B) $$\sqrt{3}$$

(C) 6

(D) 9

(E) 27

$$\sqrt{\frac{x}{3}} = 3$$

Or,$$\frac{x}{3} = 9$$

Or, x = 27 , Answer must be (E)
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Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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25 Mar 2018, 01:33
$$\sqrt{\frac{x}{3}}$$= 3

Square both sides

$$\frac{x}{3}$$= 9

x=27

$$Answer: E.$$
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Re: If (x/3)^(1/2) = 3, then x =   [#permalink] 25 Mar 2018, 01:33
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