# How do you simplify sqrt(16393)?

$\sqrt{16393} = 13 \sqrt{97}$
If $a , b \ge 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$
$\sqrt{16393} = \sqrt{{13}^{2} \cdot 97} = \sqrt{{13}^{2}} \cdot \sqrt{97} = 13 \sqrt{97}$