# How do you simplify root4(729)?

$3 \sqrt{3}$
$\sqrt[4]{729} = \sqrt[4]{{9}^{3}} = {9}^{\frac{3}{4}} = {\left({9}^{\frac{1}{4}}\right)}^{3} = {\left(\sqrt{\sqrt{9}}\right)}^{3} = {\left(\sqrt{3}\right)}^{3} = 3 \sqrt{3}$