Topics
>
Algebra 2>
Radicals>
Simplify Radical Expressions using the Distributive Property>
Simplify Radical Expressions using the Distributive Property 1Simplify Radical Expressions using the Distributive Property 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
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
- Answered
- Review
-
Question 1 of 4
1. Question
Simplify`5 (sqrt2- 3)`Hint
Help VideoCorrect
Great Work!
Incorrect
Single Bracket Expansion Method (Distributive Property)
`a``(``b``+``c``)=``a``b``+``a``c`Apply the Distributive Property.`5 (sqrt2- 3)` `=` `5 xx sqrt2 + 5 xx ( -3)` `=` `5sqrt(2)- 15` Simplify `5sqrt(2)- 15` -
Question 2 of 4
2. Question
Simplify`sqrt5 (sqrt7 -3)`Hint
Help VideoCorrect
Nice Job!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Single Bracket Expansion Method
(Distributive Property)`a``(``b``+``c``)=``a``b``+``a``c`Apply the Distributive Property.`sqrt5 (sqrt7 -3)` `=` `sqrt5 xx sqrt7 + sqrt5 xx (-3)` `=` `sqrt(35)- 3sqrt(5)` Apply the Multiplication Property `sqrt(35)- 3sqrt(5)` -
Question 3 of 4
3. Question
Simplify`2sqrt3 (4sqrt5- 2)`Hint
Help VideoCorrect
Correct!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`Single Bracket Expansion Method
(Distributive Property)`a``(``b``+``c``)=``a``b``+``a``c`Apply the Distributive Property.`2sqrt3 (4sqrt5- 2)` `=` `2sqrt3 xx 4sqrt5 + 2sqrt3 xx (-2)` `=` `2 xx 4 xx sqrt3 xx sqrt5 + 2 xx (-2) xx sqrt3` `=` `8 xx sqrt3 xx sqrt5- 4 xx sqrt3` `=` `8sqrt(15)- 4sqrt(3)` Apply the Multiplication Property `8sqrt(15) -4sqrt(3)` -
Question 4 of 4
4. Question
Simplify`(5+sqrt3) (7- sqrt2)`Hint
Help VideoCorrect
Excellent!
Incorrect
Multiplication Property of Surds
`sqrt(ab)=sqrt(a) xx sqrt(b)`Double Bracket Expansion (FOIL) Method
`(``a``+``b``)(``c``+``d``)=``a``c``+``a``d``+``b``c``+``b``d`Apply the FOIL method.`(5+sqrt3) (7- sqrt2)` `=` `(5 xx 7)- (5 xx sqrt2) + (sqrt3 xx 7)- (sqrt3 xx sqrt2)` `=` `35- 5sqrt2 + 7sqrt3- sqrt3 xx sqrt2` `=` `35-5sqrt(2) + 7sqrt(3)-sqrt6` Apply the Multiplication Property `35-5sqrt(2) + 7sqrt(3)-sqrt6`
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