Simplify √ √ 81 = Options: A . &nbsp27 B . &nbsp3 C . &nbsp9 D . &nbspCan't be determined

Answer: Option B : B √ √ 81 = √ ( √ 9 × 9 ) [ ∵ 9 × 9 = 9 2 = 81 ] = √ ( 9 ) [ ∵ √ 9 2 = 9 ] = √ ( 3 × 3 ) [ ∵ 3 × 3 = 3 2 = 9 ] = 3

Simplify √√81 =

Question

Simplify

\sqrt{\sqrt{81}}

Options:

A . 27

B . 3

C . 9

D . Can't be determined

Answer: Option B
:
B

\sqrt{\sqrt{81}}

= \sqrt{(\sqrt{9 \times 9})} [∵ 9 \times 9 = 9^{2} = 81]

= \sqrt{(9)} [∵ \sqrt{9^{2}} = 9] = \sqrt{(3 \times 3)} [∵ 3 \times 3 = 3^{2} = 9] = 3

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