Question

What is the simplest form of the radical expression 4^4√2x 6^4√2x?

A)10^4√2x
B)10^4√4x
C)20^4√2x
D)Not possible to simplify

Answer 1

4^4√2x 6^4√2x is Not possible to simplify

Answer 2

option (a) is correct.

The Simplest form of the radical expression
`4\sqrt[4]{2}x+6\sqrt[4]{2}x` is
`10\sqrt[4]{2}x`

Explanation:

Given expression
`4\sqrt[4]{2}x+6\sqrt[4]{2}x`

We have to write the given expression in simplest form.

Consider the given expression
`4\sqrt[4]{2}x+6\sqrt[4]{2}x`

Since both terms have
`\sqrt[4]{2}x`,

Using
`ax+bx=(a+b)x`

Taking
`\sqrt[4]{2}x` common , we get,

`4\sqrt[4]{2}x+6\sqrt[4]{2}x\\\\ \Rightarrow \sqrt[4]{2}x(4+6)\\\\ \Rightarrow 10\sqrt[4]{2}x`

Thus, option (a) is correct.

The Simplest form of the radical expression
`4\sqrt[4]{2}x+6\sqrt[4]{2}x` is
`10\sqrt[4]{2}x`