How do you simplify root3(3 )*root3(9)?

May 31, 2016

:$\text{ } \sqrt[3]{3} \times \sqrt[3]{9} = 3$

Explanation:

Given:$\text{ } \sqrt[3]{3} \times \sqrt[3]{9}$

Note that $\sqrt[3]{9} = \sqrt[3]{3} \times \sqrt[3]{3}$

So we end up with

$\text{ } \sqrt[3]{3} \times \sqrt[3]{3} \times \sqrt[3]{3}$

${\left(\sqrt[3]{3}\right)}^{3} = 3$