Divide Surd Expressions 2

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Question 1 of 4

1. Question
Simplify

$sqrt48 -: 4$
- 1. $4sqrt(2)$
- 2. $3sqrt(2)$
- 3. $sqrt(3)$
- 4. $2sqrt(3)$
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Division Property of Square Roots

$sqrt(a/b)=(sqrt(a))/(sqrt(b))$ or $sqrt(a -: b)=sqrt(a) -: sqrt(b)$

Express both numbers as surds. Get the square of $4$ and add a surd 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

$sqrt126 -: 3$
- 1. $sqrt(14)$
- 2. $sqrt(117)$
- 3. $3sqrt(15)$
- 4. $sqrt(42)$
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Division Property of Square Roots

$sqrt(a/b)=(sqrt(a))/(sqrt(b))$ or $sqrt(a -: b)=sqrt(a) -: sqrt(b)$

Express both numbers as surds. Get the square of $3$ and add a surd 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

$35sqrt3 -: 5sqrt3$
- 1. $21$
- 2. $175$
- 3. $7$
- 4. $7sqrt(6)$
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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

$35sqrt3-: 5sqrt3$

$=$ $(35-:5)sqrt(3 -: 3)$ Divide

$=$ $7$

$7$
Question 4 of 4

4. Question
Simplify

$12sqrt96 -: 3sqrt2$
- 1. $8sqrt(6)$
- 2. $30sqrt(3)$
- 3. $4sqrt(98)$
- 4. $16sqrt(3)$
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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

$12sqrt96 -: 3sqrt2$

$=$ $(12-:3)sqrt(96 -: 2)$ Divide

$=$ $4sqrt(48)$

$=$ $16sqrt(3)$

$16sqrt(3)$

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Quiz summary

Information

1. Question

Nice Work!

Division Property of Square Roots

2. Question

Nice Work!

Division Property of Square Roots

3. Question

Nice Work!

Division Property of Square Roots

4. Question

Nice Work!

Division Property of Square Roots

Quizzes

	$12sqrt96 -: 3sqrt2$
$=$	$(12-:3)sqrt(96 -: 2)$	Divide
$=$	$4sqrt(48)$
$=$	$16sqrt(3)$

	$sqrt48 -: sqrt16$
$=$	$sqrt(48 -: 16)$	Divide
$=$	$sqrt(3)$

	$sqrt126 -: sqrt9$
$=$	$sqrt(126 -: 9)$	Divide
$=$	$sqrt(14)$

	$35sqrt3-: 5sqrt3$
$=$	$(35-:5)sqrt(3 -: 3)$	Divide
$=$	$7$