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# √[2√63 + 2/(8+3√7)] =

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GMAT Tutor
Joined: 24 Jun 2008
Posts: 1728
Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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19 Jun 2015, 00:07
GMATinsight wrote:
in GMAT, answer choices are sufficiently far apart in the questions of roots (atleast my little 10 years of experience say so about such questions).

But yes, We all are entitled to have different opinions. (y)

I don't think it's a question of opinion - it's either true or false that you can reliably estimate on roots questions on the real GMAT, and we can decide by looking at real GMAT questions. The question below is from an old version of GMATPrep, and there is no easy way to estimate to get an answer:

if-the-sum-of-the-square-roots-of-two-integers-is-43004.html
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Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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04 Oct 2015, 23:52
1
2
Hussain15 wrote:
√[2√63 + 2/(8+3√7)] =

A. 8 + 3√7
B. 4 + 3√7
C. 8
D. 4
E. √7

All such question can be easily solved by approximation so in case readers haven't tried it before, I would urge them to think the approximate values and answer such questions. Here is the explanation that you will probably fall in love with

We have to calculate the value of √[2√63 + 2/(8+3√7)]

√63 is very close to √64 = 8
therefore,
√63 = 8 (approx.)

√7 is very close to √9 = 3
therefore,
√7 = 3 (approx.)

Now, √[2√63 + 2/(8+3√7)] = √[2*8 + 2/(8+3*3)] = √[16 + 2/(17)] = √[16] = 4 (approx)

A. 8 + 3√7 is Much Greater than 4 so INCORRECT
B. 4 + 3√7 is Much Greater than 4 so INCORRECT
C. 8 is Much Greater than 4 so INCORRECT
D. 4 CORRECT
E. √7 = 2.8 approx so INCORRECT
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Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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25 Jul 2017, 08:00
HiBunuel: Can you please post similar questions to practice.
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Joined: 02 Sep 2009
Posts: 56300
Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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25 Jul 2017, 08:19
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Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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22 Aug 2018, 11:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: √[2√63 + 2/(8+3√7)] =   [#permalink] 22 Aug 2018, 11:52

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