Simplify Square Roots 4
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Question 1 of 4
1. Question
Simplify
`sqrt18`
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 `18 \ color(forestgreen)((9))``sqrt(18)` `=` `sqrt(color(forestgreen)(9) xx 2)` `9` is a perfect square `=` `sqrt(color(forestgreen)(9)) xx sqrt(2)` Apply the Multiplication Property `=` `color(forestgreen)(3) xx sqrt(2)` `color(forestgreen)(sqrt(9)=3)` `=` `3sqrt(2)` `3sqrt(2)` 
Question 2 of 4
2. Question
Simplify
`2sqrt54`
Correct
Fantastic!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`To simplify `2sqrt(54)`, find the largest perfect square that divides evenly into the radicand: `54 \ color(forestgreen)((9))``2sqrt(54)` `=` `2sqrt(color(forestgreen)(9) xx 6)` `9` is a perfect square `=` `2 xx sqrt(color(forestgreen)(9)) xx sqrt(6)` Apply the Multiplication Property `=` `2 xx color(forestgreen)(3) xx sqrt(6)` `color(forestgreen)(sqrt(9)=3)` `=` `6 xx sqrt(6)` `=` `6sqrt(6)` `6sqrt(6)` 
Question 3 of 4
3. Question
Simplify
`3sqrt128`
Correct
Nice Work!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`To simplify `3sqrt(128)`, find the largest perfect square that divides evenly into the radicand: `128 \ color(forestgreen)((64))``3sqrt(128)` `=` `3sqrt(color(forestgreen)(64) xx 2)` `64` is a perfect square `=` `3 xx sqrt(color(forestgreen)(64)) xx sqrt(2)` Apply the Multiplication Property `=` `3 xx color(forestgreen)(8) xx sqrt(2)` `color(forestgreen)(sqrt(64)=8)` `=` `24 xx sqrt(2)` `=` `24sqrt(2)` `24sqrt(2)` 
Question 4 of 4
4. Question
Simplify
`2sqrt80`
Correct
Exceptional!
Incorrect
Multiplication Property of Radicals
`sqrt(ab)=sqrt(a) xx sqrt(b)`To simplify `2sqrt(80)`, find the largest perfect square that divides evenly into the radicand: `80 \ color(forestgreen)((16))``2sqrt(80)` `=` `2sqrt(color(forestgreen)(16) xx 5)` `16` is a perfect square `=` `2 xx sqrt(color(forestgreen)(16)) xx sqrt(5)` Apply the Multiplication Property `=` `2 xx color(forestgreen)(4) xx sqrt(5)` `color(forestgreen)(sqrt(16)=4)` `=` `8 xx sqrt(5)` `=` `8sqrt(5)` `8sqrt(5)`
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