# How do you simplify root4(162)?

$3 \sqrt[4]{2}$
Note that the prime factorization of $162$ is $2 \times {3}^{4}$.
$\sqrt[4]{162} = \sqrt[4]{2 \times {3}^{4}} = \sqrt[4]{2} \times \sqrt[4]{{3}^{4}} = 3 \sqrt[4]{2}$