Answer
$\sqrt[6] {1372}$
Work Step by Step
$\sqrt [3] {2} * \sqrt 7$
$\sqrt [3] {2} = 2^\frac{1}{3}$
$\sqrt 7 = 7^\frac{1}{2}$
$2^\frac{1}{3} = 2^\frac{2}{6}$
$7^\frac{1}{2} = 7^\frac{3}{6}$
$2^\frac{2}{6}=2^{(2*1/6)}$
$7^\frac{3}{6}=7^{(3*1/6)}$
$2^{(2*1/6)}=(2^2)^{(1/6)}$
$7^{(3*1/6)}=(7^3)^{(1/6)}$
$2^2=4$
$7^3=343$
$4*343=1372^{(1/6)}$
$\sqrt[6] {1372}$
