# How do you simplify 2root4(176)+5root4(11)?

Sep 1, 2016

$9 \sqrt[4]{11}$

#### Explanation:

Write the numbers as a product of its prime factors first.

$2 \sqrt[4]{176} + 5 \sqrt[4]{11}$

=$2 \sqrt[4]{{2}^{4} \times 11} + 5 \sqrt[4]{11}$

=$2 \times 2 \sqrt[4]{11} + 5 \sqrt[4]{11} \leftarrow$ these are now like terms

=$9 \sqrt[4]{11}$