Multiply Surd Expressions 4
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Question 1 of 5
1. Question
Simplify`-3sqrt2 xx 2sqrt5`Hint
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Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`-3 xx 2` `=` `-6` Multiply the surds`sqrt2 xx sqrt5` `=` `sqrt(10)` Combine the products`=` `-6`` xx ``sqrt(10)` Simplify `=` `-6sqrt(10)` `-6sqrt(10)` -
Question 2 of 5
2. Question
Simplify`5sqrt27 xx 3sqrt6`Hint
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Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`5 xx 3` `=` `15` Multiply the surds`sqrt27 xx sqrt6` `=` `sqrt(162)` Combine the products`=` `15`` xx ``sqrt(162)` Simplify `=` `15 xx sqrt(81) xx sqrt(2)` `=` `15 xx 9 xx sqrt(2)` `=` `135sqrt(2)` `135sqrt(2)` -
Question 3 of 5
3. Question
Simplify`-3sqrt7 xx 2sqrt6`Hint
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Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`-3 xx 2` `=` `-6` Multiply the surds`sqrt7 xx sqrt6` `=` `sqrt(42)` Combine the products`=` `-6`` xx ``sqrt(42)` Simplify `=` `-6sqrt(42)` `-6sqrt(42)` -
Question 4 of 5
4. Question
Simplify`(4sqrt3)^2`Hint
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Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Rewrite the square as a multiplication`(4sqrt3)^2` `=` `4sqrt3 xx 4sqrt3` Multiply the numbers and then the surdsMultiply numerical coefficients`4 xx 4` `=` `16` Multiply the surds`sqrt3 xx sqrt3` `=` `sqrt(9)` Combine the products`=` `16`` xx ``sqrt(9)` Simplify `=` `16 xx 3` `=` `48` `48` -
Question 5 of 5
5. Question
Simplify`6sqrt3 xx 2sqrt6 xx 4sqrt2`Hint
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Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`6 xx 2 xx 4` `=` `48` Multiply the surds`sqrt3 xx sqrt6 xx sqrt2` `=` `sqrt(36)` Combine the products`=` `48`` xx ``sqrt(36)` Simplify `=` `48 xx 6` `=` `288` `288`
Quizzes
- Simplify Square Roots 1
- Simplify Square Roots 2
- Simplify Square Roots 3
- Simplify Square Roots 4
- Simplify Surds with Variables 1
- Simplify Surds with Variables 2
- Simplify Surds with Variables 3
- Rewriting Entire and Mixed Surds 1
- Rewriting Entire and Mixed Surds 2
- Add and Subtract Surd Expressions (Basic) 1
- Add and Subtract Surd Expressions (Basic) 2
- Add and Subtract Surd Expressions (Basic) 3
- Add and Subtract Surd Expressions 1
- Add and Subtract Surd Expressions 2
- Add and Subtract Surd Expressions 3
- Multiply Surd Expressions 1
- Multiply Surd Expressions 2
- Multiply Surd Expressions 3
- Multiply Surd Expressions 4
- Divide Surd Expressions 1
- Divide Surd Expressions 2
- Divide Surd Expressions 3
- Multiply and Divide Surd Expressions
- Simplify Surd Expressions using the Distributive Property 1
- Simplify Surd Expressions using the Distributive Property 2
- Simplify Surd Expressions using the Distributive Property 3
- Simplify Binomial Surd Expressions using the FOIL Method 1
- Simplify Binomial Surd Expressions using the FOIL Method 2
- Rationalising the Denominator 1
- Rationalising the Denominator 2
- Rationalising the Denominator 3
- Rationalising the Denominator 4
- Rationalising the Denominator using Conjugates