Divide Radical Expressions 2
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Question 1 of 4
1. Question
Simplify
`sqrt48 -: 4`
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 `4` and add a radical sign.`sqrt48 -: 4` `=` `sqrt48 -: sqrt16` `4^2 = 16` Apply the division property of square roots to simplify the expression`sqrt48 -: sqrt16` `=` `sqrt(48 -: 16)` Divide `=` `sqrt(3)` `sqrt(3)` -
Question 2 of 4
2. Question
Simplify
`sqrt126 -: 3`
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 `3` and add a radical sign.`sqrt126 -: 3` `=` `sqrt126 -: sqrt9` `3^2 = 9` Apply the division property of square roots to simplify the expression`sqrt126 -: sqrt9` `=` `sqrt(126 -: 9)` Divide `=` `sqrt(14)` `sqrt(14)` -
Question 3 of 4
3. Question
Simplify
`35sqrt3 -: 5sqrt3`
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`35sqrt3-: 5sqrt3` `=` `(35-:5)sqrt(3 -: 3)` Divide `=` `7` `7` -
Question 4 of 4
4. Question
Simplify
`12sqrt96 -: 3sqrt2`
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`12sqrt96 -: 3sqrt2` `=` `(12-:3)sqrt(96 -: 2)` Divide `=` `4sqrt(48)` `=` `16sqrt(3)` `16sqrt(3)`
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