Question

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

• A. 27
• B. 3
• C. 9
• D. Can't be determined

Answer 1

The correct option is B

3

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