Multiplying & Dividing Radical Expressions

Multiply and simplify. Assume that all variables are positive.  $\sqrt{8y^5}\cdot\sqrt{40y^2}$  

•  $8y^3\sqrt{5}$  

•  $8y^3\sqrt{5y}$  

•  $8y\sqrt{5y}$  

•  $8y^3\sqrt{5}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Divide and simplify. Assume that all variables are positive. $\frac{\sqrt{600}}{\sqrt{6}}$   

• 6

• 10

• 60

• 100

Tags

CCSS.HSN.RN.A.2

Divide and simplify. Assume that all variables are positive.  $\frac{\sqrt{180x^5}}{\sqrt{5x^3}}$   

•  $6x^2$  

•  $12x$  

•  $6x$  

•  $12x^2$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify ( $\sqrt{2}$  - 3)( $\sqrt{2}$  + 3)

• 7

• -7

•  $\sqrt{7}$  

• - $\sqrt{7}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\left(\sqrt{5}-7\right)^2$  

• 54 -  $\sqrt{70}$  

• 35

• 54 -  $14\sqrt{5}$  

•  $\sqrt{35}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{1}{2+\sqrt{3}}$  

• 1

•  $2\ -\ \sqrt{3}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{1}{\sqrt{3}}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{2+\sqrt{6}}{3-\sqrt{6}}$  

•  $\frac{12+5\sqrt{6}}{3}$  

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

• undefined

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\frac{1}{\sqrt{2}}$  

• 1

• 2

•  $\sqrt{2}$  

•  $\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

• 9
• 5√2 + 2
• 10√2
• 2√2 + 3√30

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

√5 × √10

• 50
• 2√5
• 5√2
• 5√10

Tags

CCSS.HSN.RN.A.2