Divide Radical Expressions 1
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Question 1 of 4
1. Question
Simplify
`sqrt28 : sqrt7`
Correct
Excellent!
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Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a : b)=sqrt(a) : sqrt(b)`Apply the division property of square roots to simplify the expression`sqrt28 : sqrt7` `=` `sqrt(28 : 7)` Divide `=` `sqrt(4)` `=` `2` `4` is a perfect square `2` 
Question 2 of 4
2. Question
Simplify
`sqrt52 : 2`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a : b)=sqrt(a) : sqrt(b)`Express both numbers as radicals. Get the square of `2` and add a radical sign.`sqrt52 : 2` `=` `sqrt52 : sqrt4` `2^2 = 4` Apply the division property of square roots to simplify the expression`sqrt52 : sqrt4` `=` `sqrt(52 : 4)` Divide `=` `sqrt(13)` `sqrt(13)` 
Question 3 of 4
3. Question
Simplify
`sqrt125 : 5`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a : b)=sqrt(a) : sqrt(b)`Express both numbers as radicals. Get the square of `5` and add a radical sign.`sqrt125 : 5` `=` `sqrt125 : sqrt25` `5^2 = 25` Apply the division property of square roots to simplify the expression`sqrt125 : sqrt25` `=` `sqrt(125 : 25)` Divide `=` `sqrt(5)` `sqrt(5)` 
Question 4 of 4
4. Question
Simplify
`16sqrt18 : 4sqrt2`
Correct
Nice Work!
Incorrect
Division Property of Square Roots
`sqrt(a/b)=(sqrt(a))/(sqrt(b))` or `sqrt(a : b)=sqrt(a) : sqrt(b)`Apply the division property of square roots to simplify the expression`16sqrt18 : 4sqrt2` `=` `(16:4)sqrt(18 : 2)` Divide `=` `4sqrt(9)` `=` `12` `12`
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