Multiply Surd Expressions 3

Years

Year 8

Surds

Multiply Surd Expressions

Multiply Surd Expressions 3

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 5

Simplify

$4 \sqrt{18} \times 6 \sqrt{5}$ $4sqrt18 xx 6sqrt5$

1. $72 \sqrt{10}$ $72sqrt(10)$
2. $24 \sqrt{8}$ $24sqrt(8)$
3. $36 \sqrt{6}$ $36sqrt(6)$
4. $20 \sqrt{14}$ $20sqrt(14)$

Question 2 of 5

Simplify

$7 \sqrt{6} \times 2 \sqrt{8}$ $7sqrt6 xx 2sqrt8$

1. $56 \sqrt{3}$ $56sqrt(3)$
2. $42 \sqrt{6}$ $42sqrt(6)$
3. $28 \sqrt{10}$ $28sqrt(10)$
4. $56 \sqrt{8}$ $56sqrt(8)$

Question 3 of 5

Simplify

$2 \sqrt{6} \times 6 \sqrt{3}$ $2sqrt6 xx 6sqrt3$

1. $36 \sqrt{2}$ $36sqrt(2)$
2. $4 \sqrt{11}$ $4sqrt(11)$
3. $18 \sqrt{6}$ $18sqrt(6)$
4. $16 \sqrt{22}$ $16sqrt(22)$

Question 4 of 5

Simplify

$4 \sqrt{3} \times 2 \sqrt{3} \times \sqrt{2}$ $4sqrt3 xx 2sqrt3 xx sqrt2$

1. $24 \sqrt{2}$ $24sqrt(2)$
2. $18 \sqrt{3}$ $18sqrt(3)$
3. $20 \sqrt{5}$ $20sqrt(5)$
4. $21 \sqrt{6}$ $21sqrt6$

Question 5 of 5

Simplify

$5 \sqrt{6} \times 2 \sqrt{5} \times 3 \sqrt{2}$ $5sqrt6 xx 2sqrt5 xx 3sqrt2$

1. $15 \sqrt{10}$ $15sqrt(10)$
2. $45 \sqrt{8}$ $45sqrt(8)$
3. $30 \sqrt{21}$ $30sqrt(21)$
4. $60 \sqrt{15}$ $60sqrt(15)$

$=$ $=$	$24 \times \sqrt{90}$ $24 xx sqrt(90)$	Factor by finding smaller multiples of $48$ $48$
$=$ $=$	$24 \times \sqrt{9} \times \sqrt{10}$ $24 xx sqrt(9) xx sqrt(10)$	Apply the Multiplication Property
$=$ $=$	$24 \times 3 \times \sqrt{10}$ $24 xx 3 xx sqrt(10)$	$9$ $9$ is a perfect square
$=$ $=$	$72 \sqrt{10}$ $72sqrt(10)$

$=$ $=$	$14 \times \sqrt{48}$ $14 xx sqrt(48)$	Factor by finding smaller multiples of $48$ $48$
$=$ $=$	$14 \times \sqrt{16} \times \sqrt{3}$ $14 xx sqrt(16) xx sqrt(3)$	Apply the Multiplication Property
$=$ $=$	$14 \times 4 \times \sqrt{3}$ $14 xx 4 xx sqrt(3)$	$16$ $16$ is a perfect square
$=$ $=$	$56 \sqrt{3}$ $56sqrt(3)$

$=$ $=$	$12 \times \sqrt{18}$ $12 xx sqrt(18)$	Factor by finding smaller multiples of $18$ $18$
$=$ $=$	$12 \times \sqrt{9} \times \sqrt{2}$ $12 xx sqrt(9) xx sqrt(2)$	Apply the Multiplication Property
$=$ $=$	$12 \times 3 \times \sqrt{2}$ $12 xx 3 xx sqrt(2)$	$36$ $36$ is a perfect square
$=$ $=$	$36 \sqrt{2}$ $36sqrt(2)$

$=$ $=$	$8 \times \sqrt{18}$ $8 xx sqrt(18)$	Factor by finding smaller multiples of $18$ $18$
$=$ $=$	$8 \times \sqrt{9} \times \sqrt{2}$ $8 xx sqrt(9) xx sqrt(2)$	Apply the Multiplication Property
$=$ $=$	$8 \times 3 \times \sqrt{2}$ $8 xx 3 xx sqrt(2)$	$9$ $9$ is a perfect square
$=$ $=$	$24 \sqrt{2}$ $24sqrt(2)$

$=$ $=$	$30 \times \sqrt{60}$ $30 xx sqrt(60)$	Factor by finding smaller multiples of $60$ $60$
$=$ $=$	$30 \times \sqrt{4} \times \sqrt{15}$ $30 xx sqrt(4) xx sqrt(15)$	Apply the Multiplication Property
$=$ $=$	$30 \times 2 \times \sqrt{15}$ $30 xx 2 xx sqrt(15)$	$4$ $4$ is a perfect square
$=$ $=$	$60 \sqrt{15}$ $60sqrt(15)$

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Correct!

Multiplication Property of Square Roots

2. Question

Good Job!

Multiplication Property of Square Roots

3. Question

Fantastic!

Multiplication Property of Square Roots

4. Question

Excellent!

Multiplication Property of Square Roots

5. Question

Well Done!

Multiplication Property of Square Roots

Quizzes