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Simplify a radical

Simplify a radical with a number as radicand

This math skill teaches how to simplify a square root by identifying and removing squared prime factors from the radicand. This involves factorizing the number under the square root, identifying squared factors, and simplifying the expression accordingly.

Learn simplify a radical

Teaching Transcript

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Let's simplify the square root of 63

First let's find the prime factors. 63 is 3 times 3 times 7

Now we can identify any squared factors that we can remove. We have a 3 squared, so we can remove a 3

So the square root of 63 is 3 times the square root of 7

Skill Practice

Simplify a radical with a number as radicand

Test your understanding of simplify a radical by practicing it! Work through the below exercises to use it in practice.