Divide Surd Expressions 3
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Question 1 of 4
1. Question
Simplify
`45sqrt21 -: 9sqrt7`
Correct
Nice Work!
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Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a -: b)=sqrt(a) -: sqrt(b)`Apply the division property of square roots to simplify the expression`45sqrt21 -: 9sqrt7` `=` `(45-:9)sqrt(21 -: 7)` Divide `=` `5sqrt(3)` `5sqrt(3)` -
Question 2 of 4
2. Question
Simplify
`33sqrt27 -: 3sqrt3`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a -: b)=sqrt(a) -: sqrt(b)`Apply the division property of square roots to simplify the expression`33sqrt27 -: 3sqrt3` `=` `(33-:3)sqrt(27-: 3)` Divide `=` `11sqrt(9)` `=` `33` `33` -
Question 3 of 4
3. Question
Simplify
`sqrt243 -: sqrt3`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a -: b)=sqrt(a) -: sqrt(b)`Apply the division property of square roots to simplify the expression`sqrt243 -: sqrt3` `=` `sqrt(243 -: 3)` Divide `=` `sqrt(81)` `=` `9` `9` -
Question 4 of 4
4. Question
Simplify
`6sqrt125 -: 2sqrt5`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a -: b)=sqrt(a) -: sqrt(b)`Apply the division property of square roots to simplify the expression`6sqrt125 -: 2sqrt5` `=` `(6-:2)sqrt(125 -: 5)` Divide `=` `3sqrt(25)` `=` `15` `15`
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