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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.
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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