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Simplify: √(10+√(27+√(65+) √256) )
Question

Simplify: √(10+√(27+√(65+) √256) )

A.

8

B.

7

C.

4

D.

6

Correct option is C

We have been given this :√(10+√(27+√(65+) √256) )

Solution:

√(10+√(27+√(65+) √256) )

=√(10+√(27+√(65+16) )

=√(10+√(27+√(81) )

=√(10+√(27+9) )

=√(10+√(36) )

=√(10+6 )

=√(16 )

=4

hence 4 is the answer.

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