Surds

Simplify fully: 
√32

• 4√8
• 16√2
• 4√2
• 4√4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify fully: 
√216

• 2√108
• 4√54
• 6√6
• 18√6

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following surd...

• 5√2

• 5√3

• 2√5

• 10√5

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify fully: 
√32 + 5√32

• 6√32
• 24√8
• 24√2
• 6√8

Tags

CCSS.HSN.RN.A.2

Simplify fully: 
2√45 - 5√45 + 9√16

• -9√5 + 36
• -3√45 + 144
• 6√16
• 6√106

Tags

CCSS.HSN.RN.A.2

What should you multiply $\frac{6}{1-\sqrt{5}}$  by to rationalize the denominator?

• -4

•  $1-\sqrt{5}$  

•  $1+\sqrt{5}$  

•  $-\frac{\left(3-3\sqrt{5}\right)}{2}$  

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

 $\frac{-2}{1+\sqrt{6}}$  Rationalize the following:

•  $\frac{1+\sqrt{6}}{-2}$  

•  $\frac{-2+2\sqrt{6}}{-5}$  

•  $-\frac{2\sqrt{6}}{6}$  

•  $-2\sqrt{6}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.2

 $2√32-√50+√98$  

•  $√2$  

•  $10√2$  

•  $56√2$  

•  $700√2$  

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

•  $\frac{\sqrt{6}-\sqrt{10}}{8}$  

•  $\frac{\sqrt{6}-\sqrt{10}}{-2}$  

•  $\frac{\sqrt{6}+\sqrt{10}}{8}$  

•  $\frac{2\sqrt{3}+2\sqrt{5}}{-2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.2

5√2 x 2√3

• 10√6

• 6√10

• 60

• 15√6