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Algebra 1>
Radicals>
Rewriting Entire and Mixed Radicals>
Rewriting Entire and Mixed Radicals 2Rewriting Entire and Mixed Radicals 2
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Question 1 of 4
1. Question
Express as an entire radical
`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 radical as an entire radical.`2sqrt(12)` `=` `sqrt(4 xx 12)` Take the square of the coefficient `2` and bring it into the radical. `=` `sqrt(48)` Multiply `sqrt(48)` -
Question 2 of 4
2. Question
Express as an entire radical
`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 radical as an entire radical.`5sqrt(7)` `=` `sqrt(25 xx 7)` Take the square of the coefficient `5` and bring it into the radical. `=` `sqrt(175)` Multiply `sqrt(175)` -
Question 3 of 4
3. Question
Express as an entire radical
`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 radical as an entire radical.`10sqrt(7)` `=` `sqrt(100 xx 5)` Take the square of the coefficient `10` and bring it into the radical. `=` `sqrt(500)` Multiply `sqrt(500)` -
Question 4 of 4
4. Question
Express as an entire radical
`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 radical as an entire radical.`9sqrt(3)` `=` `sqrt(81 xx 3)` Take the square of the coefficient `9` and bring it into the radical. `=` `sqrt(243)` Multiply `sqrt(243)`
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