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# √3 is what percent of √12?

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Math Revolution GMAT Instructor
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√3 is what percent of √12?  [#permalink]

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29 Mar 2017, 01:02
1
3
00:00

Difficulty:

15% (low)

Question Stats:

76% (00:39) correct 24% (00:56) wrong based on 78 sessions

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√3 is what percent of √12?

A. 20%
B. 25%
C. 30%
D. 46%
E. 50%

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 19 Apr 2016 Posts: 274 Location: India GMAT 1: 570 Q48 V22 GMAT 2: 640 Q49 V28 GPA: 3.5 WE: Web Development (Computer Software) √3 is what percent of √12? [#permalink] ### Show Tags 29 Mar 2017, 01:08 2 MathRevolution wrote: √3 is what percent of √12? A. 20% B. 25% C. 30% D. 46% E. 50% √3/√12 = √3/(√3*√4) = 1/√4 = 1/2 = 50% Hence option E is correct Hit Kudos if you liked it Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6661 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: √3 is what percent of √12? [#permalink] ### Show Tags 31 Mar 2017, 00:35 ==> According to the ivy approach, you get is:”=”, what: “some”, and percent:”1/100”. Also, you substitute √12=2√3, and from √3=some(1/100)2√3, if you get rid of √3 on both sides, you get 1=(some)2/100, some=50. The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: √3 is what percent of √12?  [#permalink]

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31 Mar 2017, 11:53
My approach:

√3/√12
√3/√4 x √3
1.3/2 x 1.3
1.3/2.6
50%
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√3 is what percent of √12?  [#permalink]

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01 Apr 2017, 10:12
1
MathRevolution wrote:
√3 is what percent of √12?

A. 20%
B. 25%
C. 30%
D. 46%
E. 50%

Rationalizing denominator (getting rid of radical) is very quick. (< 30 seconds)

$$\frac{\sqrt{3}}{\sqrt{12}}$$

Multiply numerator and denominator by $$\sqrt{12}$$

$$\frac{\sqrt{3}}{\sqrt{12}}*\frac{\sqrt{12}}{\sqrt{12}}=\frac{\sqrt{36}}{12}$$

$$\frac{\sqrt{36}}{12}=\frac{6}{12}$$

$$\frac{6}{12}$$ = 50%

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Re: √3 is what percent of √12?  [#permalink]

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04 Apr 2017, 15:14
MathRevolution wrote:
√3 is what percent of √12?

A. 20%
B. 25%
C. 30%
D. 46%
E. 50%

√3/√12 = √(3/12) = √(1/4) = 1/2 = 50%

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Re: √3 is what percent of √12?  [#permalink]

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17 Apr 2017, 03:42
Very easy I did this way
√3=x/100*√12
x=√3*100/√12
multiply and divide by √12
x=√36*100/12
x=6*100/12
x=50%
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Re: √3 is what percent of √12?  [#permalink]

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17 May 2017, 13:45
√3 is what percent of √12?

A. 20%
B. 25%
C. 30%
D. 46%
E. 50%

$$\sqrt{3}$$ = x% of $$\sqrt{{12}}$$
$$\frac{x}{100}$$ * $$\sqrt{{2^2*3}}$$ = $$\sqrt{3}$$
x = $$\sqrt{3}$$ x 100 / 2$$\sqrt{3}$$ = 50%

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Re: √3 is what percent of √12?  [#permalink]

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29 Jul 2018, 00:52
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Re: √3 is what percent of √12? &nbs [#permalink] 29 Jul 2018, 00:52
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