Simplify Square Roots 2
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Question 1 of 5
1. Question
Simplify
`sqrt45`
Correct
Great Work!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`First, find the largest perfect square that divides evenly into `45 \ color(forestgreen)((9))``sqrt(45)` `=` `sqrt(color(forestgreen)(9) xx 5)` `color(forestgreen)(9)` is a perfect square `=` `color(forestgreen)(sqrt9) xx sqrt5` Apply the Multiplication Property `=` `color(forestgreen)(3) xx sqrt(5)` `color(forestgreen)(sqrt9=3)` `=` `3sqrt(5)` `3sqrt(5)` 
Question 2 of 5
2. Question
Simplify
`sqrt48`
Correct
Fantastic!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`First, find the largest perfect square that divides evenly into `48 \ color(forestgreen)((4))``sqrt(48)` `=` `sqrt(color(forestgreen)(4) xx 12)` `4` is a perfect square `=` `sqrt(color(forestgreen)(4)) xx sqrt(12)` Apply the Multiplication Property `=` `color(forestgreen)(2) xx sqrt(12)` `color(forestgreen)(sqrt(4)=2)` `=` `2 xx sqrt(4 xx 3)` Factor again by finding smaller multiples of `12` `=` `2 xx sqrt(4) xx sqrt(3)` Apply the Multiplication Property `=` `2 xx 2 xx sqrt(3)` `4` is a perfect square `=` `4 xx sqrt(3)` `=` `4sqrt(3)` `4sqrt(3)` 
Question 3 of 5
3. Question
Simplify
`sqrt125`
Correct
Good Job!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`First, find the largest perfect square that divides evenly into `125 \ color(forestgreen)((25))``sqrt(125)` `=` `sqrt(color(forestgreen)(25) xx 5)` `25` is a perfect square< `=` `sqrt(color(forestgreen)(25)) xx sqrt(5)` Apply the Multiplication Property `=` `color(forestgreen)(5) xx sqrt(5)` `color(forestgreen)(sqrt(25)=5)` `=` `5sqrt(5)` `5sqrt(5)` 
Question 4 of 5
4. Question
Simplify
`sqrt98`
Correct
Correct!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`First, find the largest perfect square that divides evenly into `98 \ color(forestgreen)((49))``sqrt(98)` `=` `sqrt(color(forestgreen)(49) xx 2)` `49` is a perfect square `=` `sqrt(color(forestgreen)(49)) xx sqrt(2)` Apply the Multiplication Property `=` `color(forestgreen)(7) xx sqrt(2)` `color(forestgreen)(sqrt(49)=7)` `=` `7sqrt(2)` `7sqrt(2)` 
Question 5 of 5
5. Question
Simplify
`sqrt72`
Correct
Nice Work!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`First, find the largest perfect square that divides evenly into `72 \ color(forestgreen)((36))``sqrt(72)` `=` `sqrt(color(forestgreen)(36) xx 2)` `36` is a perfect square `=` `sqrt(color(forestgreen)(36)) xx sqrt(2)` Apply the Multiplication Property `=` `color(forestgreen)(6) xx sqrt(2)` `color(forestgreen)(sqrt(36)=6)` `=` `6sqrt(2)` `6sqrt(2)`
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