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Evaluate:​(92+(60+(11+(16+(81)))))\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 11 + \sqrt{\left(16 + \sqrt{(81)}\right)} \right)} \right)}\right)
Question

Evaluate:

(92+(60+(11+(16+(81)))))\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 11 + \sqrt{\left(16 + \sqrt{(81)}\right)} \right)} \right)}\right)}​​

A.

10

B.

13

C.

6

D.

9

Correct option is A

Given: 

(92+(60+(11+(16+(81)))))\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 11 + \sqrt{\left(16 + \sqrt{(81)}\right)} \right)} \right)}\right)} 

Solution: 

(92+(60+(11+(16+(81))))) =(92+(60+(11+(25)))) =(92+(60+(16))) =(92+(64)) =(100) =10\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 11 + \sqrt{\left(16 + \sqrt{(81)}\right)} \right)} \right)}\right)}\\ \ \\ =\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 11 + \sqrt{\left(25\right)} \right)} \right)}\right)}\\ \ \\ =\sqrt{ \left(92 + \sqrt{\left(60 + \sqrt {\left( 16 \right)} \right)}\right)}\\ \ \\ =\sqrt{ \left(92 + \sqrt{\left(64 \right)}\right)}\\ \ \\ =\sqrt{ \left(100\right)}\\ \ \\ = 10​​

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