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√[2√63 + 2/(8+3√7)] =

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Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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

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New post 25 Jul 2017, 08:19
1
DH99 wrote:
HiBunuel: Can you please post similar questions to practice.


Similar questions:
https://gmatclub.com/forum/root-9-root- ... 95570.html
https://gmatclub.com/forum/3-sqrt-80-fr ... 04038.html
https://gmatclub.com/forum/2-240047.html
https://gmatclub.com/forum/square-root-126567.html
https://gmatclub.com/forum/5-238895.html
https://gmatclub.com/forum/2-173535.html
https://gmatclub.com/forum/roots-of-15- ... 19420.html
https://gmatclub.com/forum/if-sqrt-17-s ... 95473.html
https://gmatclub.com/forum/sqrt-7-sqrt- ... 68800.html
https://gmatclub.com/forum/root-131194.html
https://gmatclub.com/forum/root-126569.html
https://gmatclub.com/forum/sqrt-15-4-sq ... 46872.html
https://gmatclub.com/forum/what-is-the- ... 38910.html
https://gmatclub.com/forum/2-166340.html
https://gmatclub.com/forum/root-80-root-139868.html
https://gmatclub.com/forum/what-is-the- ... 04091.html
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https://gmatclub.com/forum/99-191342.html
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https://gmatclub.com/forum/root2-root5-209754.html
https://gmatclub.com/forum/the-expressi ... 63493.html
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Re: √[2√63 + 2/(8+3√7)] =  [#permalink]

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

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