Rewriting Entire and Mixed Surds 1

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Question 1 of 4

1. Question
Express as an entire surd

$4sqrt(7)$
- 1. $sqrt(23)$
- 2. $sqrt(11)$
- 3. $sqrt(28)$
- 4. $sqrt(112)$
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Multiplication Property of Square Roots

$sqrt(ab)=sqrt(a)*sqrt(b)$

Apply the multiplication property of square roots to express the surd as an entire surd.

$4sqrt(7)$

$=$ $sqrt(16 xx 7)$ Take the square of the coefficient $4$ and bring it into the surd.

$=$ $sqrt(112)$ Multiply

$sqrt(112)$
Question 2 of 4

2. Question
Express as an entire surd

$2sqrt(5)$
- 1. $sqrt(7)$
- 2. $sqrt(10)$
- 3. $sqrt(9)$
- 4. $sqrt(20)$
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Multiplication Property of Square Roots

$sqrt(ab)=sqrt(a)*sqrt(b)$

Apply the multiplication property of square roots to express the surd as an entire surd.

$2sqrt(5)$

$=$ $sqrt(4 xx 5)$ Take the square of the coefficient $2$ and bring it into the surd.

$=$ $sqrt(20)$ Multiply

$sqrt(20)$
Question 3 of 4

3. Question
Express as an entire surd

$3sqrt(6)$
- 1. $sqrt(18)$
- 2. $sqrt(54)$
- 3. $sqrt(9)$
- 4. $sqrt(15)$
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Multiplication Property of Square Roots

$sqrt(ab)=sqrt(a)*sqrt(b)$

Apply the multiplication property of square roots to express the surd as an entire surd.

$3sqrt(6)$

$=$ $sqrt(9 xx 6)$ Take the square of the coefficient $3$ and bring it into the surd.

$=$ $sqrt(54)$ Multiply

$sqrt(54)$
Question 4 of 4

4. Question
Express as an entire surd

$5sqrt(3)$
- 1. $sqrt(75)$
- 2. $sqrt(28)$
- 3. $sqrt(15)$
- 4. $sqrt(8)$
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Multiplication Property of Square Roots

$sqrt(ab)=sqrt(a)*sqrt(b)$

Apply the multiplication property of square roots to express the surd as an entire surd.

$5sqrt(3)$

$=$ $sqrt(25 xx 3)$ Take the square of the coefficient $5$ and bring it into the surd.

$=$ $sqrt(75)$ Multiply

$sqrt(75)$

Rewriting Entire and Mixed Surds 1

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Quiz summary

Information

1. Question

Great Work!

Multiplication Property of Square Roots

2. Question

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Multiplication Property of Square Roots

3. Question

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Multiplication Property of Square Roots

4. Question

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Multiplication Property of Square Roots

Quizzes

	$4sqrt(7)$
$=$	$sqrt(16 xx 7)$	Take the square of the coefficient $4$ and bring it into the surd.
$=$	$sqrt(112)$	Multiply

	$2sqrt(5)$
$=$	$sqrt(4 xx 5)$	Take the square of the coefficient $2$ and bring it into the surd.
$=$	$sqrt(20)$	Multiply

	$3sqrt(6)$
$=$	$sqrt(9 xx 6)$	Take the square of the coefficient $3$ and bring it into the surd.
$=$	$sqrt(54)$	Multiply

	$5sqrt(3)$
$=$	$sqrt(25 xx 3)$	Take the square of the coefficient $5$ and bring it into the surd.
$=$	$sqrt(75)$	Multiply