Question

Simplify the expression and assume that X, y, and z denote any positive real numbers

Answer 1

Let's simplify the following radical expression:

`\text{ }\sqrt[8]{x^8y^4z^4}`

We get,

`\text{ }\sqrt[8]{x^8y^4z^4}`
`\text{ (}\sqrt[8]{x^8})(\sqrt[8]{y^4})(\sqrt[8]{z^4})`
`(\text{ x}^{(8)/(8)})(y^{(4)/(8)})(z^{(4)/(8)})`
`\text{ (x)(y}^{(1)/(2)})(z^{(1)/(2)})`
`\text{ x}\sqrt[]{yz}`

Therefore, the answer is:

`\text{ x }\sqrt[]{yz}`