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

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Difficulty:   5% (low)

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

### HideShow timer Statistics If $$\sqrt{\frac{x}{3}} = 3$$, then x =

(A) 1/9

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

(C) 6

(D) 9

(E) 27

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3359
Location: India
GPA: 3.12
Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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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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Director  P
Joined: 21 May 2013
Posts: 655
Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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

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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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Board of Directors P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

### Show Tags

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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Senior Manager  P
Joined: 07 Jul 2012
Posts: 372
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If (x/3)^(1/2) = 3, then x =  [#permalink]

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

Square both sides

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

x=27

$$Answer: E.$$
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Kindly hit kudos if my post helps! Re: If (x/3)^(1/2) = 3, then x =   [#permalink] 25 Mar 2018, 01:33
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