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Simplify a radical with variables

Simplify a radical with a number and variable as radicand

This math skill teaches how to simplify a radical expression that includes both a numerical coefficient and a variable term. The process involves factoring out the perfect squares from both the number and variable, then moving them outside the radical.

Learn simplify a radical with variables

Teaching Transcript

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Let's simplify the radical 18 'K' to the power of 3

Let's factor both the 18 and the 'K' so we can see if there are any squared factors.

There's a 3 squared and a 'K' squared. If we bring those out we have a simplified radical of 3 'K', times the square root of 2 'K'

Skill Practice

Simplify a radical with a number and variable as radicand

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