Multiplying and Dividing Radical Expressions

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

 $\left(3\ +\ \sqrt{7}\right)\left(3\ -\ \sqrt{7}\right)$  

• 1

• 2

•  $3\sqrt{7}$  

• 21

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(\sqrt{6}-\sqrt{2}\right)\left(\sqrt{8}+4\right)$  

•  $\sqrt{48}-\sqrt{8}$  

•  $\sqrt{4}-\sqrt{8}$  

•  $\sqrt{48}+4\sqrt{6}-\sqrt{16}-4\sqrt{2}$  

•  $4\sqrt{3}+4\sqrt{6}-4-4\sqrt{2}$  

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

You can use the FOIL method when dividing radical expressions.

• True

• False

 $\frac{1}{\sqrt{2}}$  

• 1

• 2

•  $\sqrt{2}$  

•  $\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

A radical expression is an algebraic expression containing at least one radical.

• True

• False

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

a-b and a+b are conjugates.

• True

• False

Tags

CCSS.HSN.CN.A.3

CCSS.HSN.CN.B.5