√(√(81)) nbsp; =√((√(9×9))) nbsp;[ ∵ 9 × 9 = 9^2 nbsp;= 81] = √((9)) [∵√(9^2) = 9] = nbsp; √((3×3)) [∵ 3 × 3 = 3 ^ ...

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Geometrical Method to Find Square Root of a Number

Simplify √√81

Question

Simplify $\sqrt{\sqrt{81}}$

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Solution

The correct option is A
3

$\sqrt{\sqrt{81}}$
$= \sqrt{(\sqrt{9 \times 9})} [∵ 9 \times 9 = 9^{2} = 81]$
$= \sqrt{(9)} [∵ \sqrt{9^{2}} = 9] = \sqrt{(3 \times 3)} [∵ 3 \times 3 = 3^{2} = 9] = 3$

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