Multiplying and Dividing with Square Roots

Simplify √10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Tags

CCSS.HSN.RN.A.2

Simplify√5 ⋅ √5

• √5
• √25
• 5
• 25

√5 × √10

• 50
• 2√5
• 5√2
• 5√10

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Multiply.
 $3\sqrt{5}\cdot4\sqrt{2}$  

•  $10\sqrt{12}$  

•  $12\sqrt{10}$  

•  $7\sqrt{7}$  

•  $12\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

Multiply.
 $-3\sqrt{5}\cdot7\sqrt{6}$  

•  $-21\sqrt{6}$  

•  $4\sqrt{11}$  

•  $-42\sqrt{15}$  

•  $-21\sqrt{30}$  

Tags

CCSS.HSN.RN.A.2

Divide.
 $\frac{\sqrt{32}}{\sqrt{8}}$  

•  $2$  

•  $4$  

•  $\sqrt{24}$  

•  $2\sqrt{6}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Divide.
 $\sqrt{\frac{144}{9}}$  

•  $16$  

•  $4$  

•  $12$  

•  $3$  

Tags

CCSS.HSN.RN.A.2

Divide.
 $\frac{6\sqrt{100}}{2\sqrt{2}}$  

•  $\sqrt{50}$  

•  $150$  

•  $15\sqrt{2}$  

•  $4\sqrt{98}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Rationalize the denominator:
 $\frac{\sqrt{5}}{2\sqrt{3}}$  

•  $\frac{\sqrt{15}}{6}$  

•  $\frac{\sqrt{15}}{18}$  

•  $\frac{5\sqrt{3}}{6}$  

•  $\frac{5\sqrt{3}}{18}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2