Simplify Square Roots 1

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Question 1 of 4

1. Question
Simplify.

`(sqrt(36))^2`
- `4sqrt(5)`
- `6`
- `5sqrt(2)`
- `4sqrt(2)`
Hint

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Correct

Well Done!

Incorrect

Square Root of Perfect Squares

`sqrt(a^2)= a`

To simplify `sqrt(36)`, determine whether it is a perfect square.

`sqrt(36)` `=` `sqrt(6^2)` `36` is a perfect square

`=` `6`

`6`

Question 2 of 4

Simplify

`sqrt48`

`4sqrt3`
`3sqrt4`
`9sqrt4`
`16sqrt4`

Question 3 of 4

Simplify.

`sqrt(20)`

`5sqrt(3)`
`2sqrt(3)`
`2sqrt(5)`
`5sqrt(2)`

Question 4 of 4

Simplify.

`sqrt(50)`

`5sqrt2`
`2sqrt5`
`25sqrt2`
`2sqrt25`

`sqrt(48)`	`=`	`sqrt(16 xx 3)`	Factor by finding smaller multiples of `48`
	`=`	`sqrt(16) xx sqrt(3)`	Apply the Surd Multiplication Property
	`=`	`4 xx sqrt(3)`	`16` is a perfect square
	`=`	`4sqrt(3)`

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Quiz summary

Information

1. Question

Hint

Well Done!

Square Root of Perfect Squares

2. Question

Hint

Excellent!

Multiplication Property of Surds

3. Question

Keep Going!

Multiplication Property of Surds

4. Question

Hint

Great Work!

Multiplication Property of Surds

Quizzes

`sqrt(20)`	`=`	`sqrt(4 xx 5)`	Factor by finding smaller multiples of `20`
	`=`	`sqrt(4) xx sqrt(5)`	Apply the Surd Multiplication Property
	`=`	`2 xx sqrt(5)`	`4` is a perfect square
	`=`	`2sqrt(5)`

`sqrt(50)`	`=`	`sqrt(25 xx 2)`	Factor by finding smaller multiples of `50`
	`=`	`sqrt(25) xx sqrt(2)`	Apply the Surd Multiplication Property
	`=`	`5 xx sqrt(2)`	`25` is a perfect square
	`=`	`5sqrt(2)`

`sqrt(36)`	`=`	`sqrt(6^2)`	`36` is a perfect square
	`=`	`6`