# How do you simplify root3(375)+root3(81)?

Aug 3, 2016

=$8 \sqrt[3]{3}$

#### Explanation:

Write the numbers as the product of prime factors first, then we know what we are dealing with.

$\sqrt[3]{375} + \sqrt[3]{81}$

=$\sqrt[3]{3 \times 5 \times 5 \times 5} + \sqrt[3]{3 \times 3 \times 3 \times 3}$

=$\sqrt[3]{{5}^{3} \times 3} + \sqrt[3]{{3}^{3} \times 3}$

=$5 \sqrt[3]{3} + 3 \sqrt[3]{3}$ We now have like terms so we can add them.

=$8 \sqrt[3]{3}$