Question

Solve:
$\sqrt{6\sqrt{6\sqrt{6}}}$

Answer 1

Let

$y=\sqrt{6\sqrt{6\sqrt{6}}}$

$y=\sqrt{6\sqrt{6\times 2.45}}$

$y=\sqrt{6\sqrt{14.7}}$

$y=\sqrt{6\times 3.83}$

$y=\sqrt{23}$

$y=4.79$

Hence, this is the answer.