What is the simplest form of the radical expression 4⁴√2x + 6⁴√2x

Solution:

Given 4⁴√2x + 6⁴√2x

This expression contains surds

Surd is simply used to refer to a number that does not have a root.

Using the distributive property, we can take √2x as common

√2x {4⁴ + 6⁴ }

√2x {256 + 1296}

√2x {1552}

1552√2x

The simplest form is 1552√2x

What is the simplest form of the radical expression 4⁴√2x + 6⁴√2x

Summary:

The simplest form of the radical expression 4⁴√2x + 6⁴√2x is 1552√2x.