Multiply Radical Expressions 1
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Question 1 of 5
1. Question
Simplify`sqrt5 xx sqrt6`Hint
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Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Use the rule above to multiply the radicals`=“sqrt(30)``sqrt5 xx sqrt6` `=` `sqrt(5 xx 6)` `sqrt(30)` -
Question 2 of 5
2. Question
Simplify`2sqrt5 xx 2sqrt5`Hint
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Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the radicalsMultiply numerical coefficients`2 xx 2` `=` `4` Multiply the radicals`sqrt5 xx sqrt5` `=` `sqrt(25)` Combine the products`=` `4`` xx ``sqrt(25)` Simplify `=` `4 xx 5` `=` `20` `20` -
Question 3 of 5
3. Question
Simplify`sqrt5 xx sqrt7`Hint
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Excellent!
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Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Use the rule above to multiply the surds`=“sqrt(35)``sqrt5 xx sqrt7` `=` `sqrt(5 xx 7)` `sqrt(35)` -
Question 4 of 5
4. Question
Simplify`sqrt3 xx sqrt15`Hint
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Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`The radicand of `sqrt15` can be split into its prime factors`sqrt15` `=` `sqrt(3 xx 5)` `=` `sqrt(3) xx sqrt(5)` Rewrite the product.`sqrt(3) xx sqrt15` `=` `sqrt(3) xx ``sqrt(3) xx sqrt(5)` Simplify `=` `3sqrt(5)` `3sqrt(5)` -
Question 5 of 5
5. Question
Simplify`2sqrt5 xx 3sqrt7`Hint
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Keep Going!
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Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the radicalsMultiply numerical coefficients`2 xx 3` `=` `6` Multiply the radicals`sqrt5 xx sqrt7` `=` `sqrt(35)` Combine the products`=` `6`` xx ``sqrt(35)` Simplify `=` `6sqrt(35)` `6sqrt(35)`
Quizzes
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Radicals with Variables 1
- Simplify Radicals with Variables 2
- Simplify Radicals with Variables 3
- Rewriting Entire and Mixed Radicals 1
- Rewriting Entire and Mixed Radicals 2
- Add and Subtract Radical Expressions (Basic) 1
- Add and Subtract Radical Expressions (Basic) 2
- Add and Subtract Radical Expressions (Basic) 3
- Add and Subtract Radical Expressions 1
- Add and Subtract Radical Expressions 2
- Add and Subtract Radical Expressions 3
- Multiply Radical Expressions 1
- Multiply Radical Expressions 2
- Multiply Radical Expressions 3
- Multiply Radical Expressions 4
- Divide Radical Expressions 1
- Divide Radical Expressions 2
- Divide Radical Expressions 3
- Multiply and Divide Radical Expressions
- Simplify Radical Expressions using the Distributive Property 1
- Simplify Radical Expressions using the Distributive Property 2
- Simplify Radical Expressions using the Distributive Property 3
- Simplify Binomial Radical Expressions using the FOIL Method 1
- Simplify Binomial Radical Expressions using the FOIL Method 2
- Rationalizing the Denominator 1
- Rationalizing the Denominator 2
- Rationalizing the Denominator 3
- Rationalizing the Denominator 4
- Rationalizing the Denominator using Conjugates