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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.

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