Rewriting Entire and Mixed Surds 2
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Question 1 of 4
1. Question
Express as an entire surd
`2sqrt(12)`
Correct
Great Work!
Incorrect
Multiplication Property of Square Roots
`sqrt(ab)=sqrt(a)*sqrt(b)`Apply the multiplication property of square roots to express the surd as an entire surd.`2sqrt(12)` `=` `sqrt(4 xx 12)` Take the square of the coefficient `2` and bring it into the surd. `=` `sqrt(48)` Multiply `sqrt(48)` -
Question 2 of 4
2. Question
Express as an entire surd
`5sqrt(7)`
Correct
Great Work!
Incorrect
Multiplication Property of Square Roots
`sqrt(ab)=sqrt(a)*sqrt(b)`Apply the multiplication property of square roots to express the surd as an entire surd.`5sqrt(7)` `=` `sqrt(25 xx 7)` Take the square of the coefficient `5` and bring it into the surd. `=` `sqrt(175)` Multiply `sqrt(175)` -
Question 3 of 4
3. Question
Express as an entire surd
`10sqrt(5)`
Correct
Great Work!
Incorrect
Multiplication Property of Square Roots
`sqrt(ab)=sqrt(a)*sqrt(b)`Apply the multiplication property of square roots to express the surd as an entire surd.`10sqrt(7)` `=` `sqrt(100 xx 5)` Take the square of the coefficient `10` and bring it into the surd. `=` `sqrt(500)` Multiply `sqrt(500)` -
Question 4 of 4
4. Question
Express as an entire surd
`9sqrt(3)`
Correct
Great Work!
Incorrect
Multiplication Property of Square Roots
`sqrt(ab)=sqrt(a)*sqrt(b)`Apply the multiplication property of square roots to express the surd as an entire surd.`9sqrt(3)` `=` `sqrt(81 xx 3)` Take the square of the coefficient `9` and bring it into the surd. `=` `sqrt(243)` Multiply `sqrt(243)`
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