Multiply Surd Expressions 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
Simplify`sqrt5 xx sqrt6`Hint
Help VideoCorrect
Well Done!
Incorrect
Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Use the rule above to multiply the surds`=“sqrt(30)``sqrt5 xx sqrt6` `=` `sqrt(5 xx 6)` `sqrt(30)` -
Question 2 of 5
2. Question
Simplify`2sqrt5 xx 2sqrt5`Hint
Help VideoCorrect
Nice Job!
Incorrect
Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`2 xx 2` `=` `4` Multiply the surds`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
Help VideoCorrect
Excellent!
Incorrect
Multiplication Property of Surds
`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
Help VideoCorrect
Fantastic!
Incorrect
Multiplication Property of Surds
`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
Help VideoCorrect
Keep Going!
Incorrect
Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Multiply the numbers and then the surdsMultiply numerical coefficients`2 xx 3` `=` `6` Multiply the surds`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 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