Multiplication of Radical Expressions Worksheets Aged 12-14

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Definition

In multiplying radical expressions with two terms,

Simply multiply the coefficients and multiply the radicands.
If needed, simplify the product.
Use the distributive property when multiplying radical expressions with multiple terms.
Then simplify and combine all similar radicals.

Summary

What is the product of this radical expression?

√10c (√6c² – √8d³) = ?

Step 1: Distribute/multiply √10c to (√6c² – √8d³).
√10c (√6c² – √8d³) = √60c³ – √80cd³
Step 2: Simplify √60c³ – √80cd³
√60c³ – √80cd³= √(4c²)(15c) – √(16d²)(5cd)
= 2c√15c – 4d√5cd

Multiplication of Radical Expressions (Education Themed) Worksheets

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