Question

Simplify: $\sqrt[4]{481x^8{y}^4{z}^{16}}$

Answer 1

The expression $81x^8{y}^4{z}^{16}$ is given. We need to find the fourth root of this expression.

We can break this in two parts. First find the square root. Then take the square root of the product we get is the last step.

So, $\sqrt[2]{281x^8{y}^4{z}^{16}}=9x^4{y}^2{z}^8$

$\Rightarrow \sqrt[2]{29x^4{y}^2{z}^8}=3x^{2}y{z}^4.$

Hence, the answer is $3x^{2}y{z}^4.$