# What is the simplest form of the radical expression 4^{4}√2x + 6^{4}√2x

**Solution:**

Given 4^{4}√2x + 6^{4}√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 {4^{4} + 6^{4 }}

√2x {256 + 1296}

√2x {1552}

1552√2x

The simplest form is 1552√2x

## What is the simplest form of the radical expression 4^{4}√2x + 6^{4}√2x

**Summary:**

The simplest form of the radical expression 4^{4}√2x + 6^{4}√2x is 1552√2x.

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