Answered

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

Verified Answer :

Nirina7

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

Answer:

option (a) is correct.

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

Step-by-step 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 \(10\sqrt[4]{2}x\)

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