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# I think this one is B. I have no way of doign this, just

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Eternal Intern
Joined: 22 Sep 2003
Posts: 51
Location: Illinois State University, Normal, IL
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I think this one is B. I have no way of doign this, just [#permalink]  29 Mar 2004, 09:38
I think this one is B. I have no way of doign this, just approximate and check.

square root of 96 is about 10

+ 2/ 5+ square root of 72 which is approx 8

so this is about square root of 10 and square root of 10 of 10, is square root of 5.
Senior Manager
Joined: 05 Feb 2004
Posts: 291
Location: USA
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C is the answer.............!! heres how to do it:

sqrt 96 = sqrt(16*6) = 4sqrt6.
Hence the equation becomes= sqrt{(4sqrt6[5+2sqrt6]+2)/(5+2sqrt6)}
which is=sqrt{20sqrt6+50/5+2sqrt6}........factor of 10 comes out in the numerator and the numerator and denominator cancel each other leaving answer as sqrt10.
Senior Manager
Joined: 05 May 2003
Posts: 427
Location: Aus
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C.
sqrt(96) = 4 sqrt(6)

If we multiply the second half's numerator and denominator with
(5 - 2 sqrt(6)).
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