Rationalizing Radicals

Divide. Simplifly as much as possible $\ \sqrt{\frac{8}{98}}$  

•  $\frac{4}{49}$  

•  $\frac{2}{7}$  

•  $\frac{4\sqrt{2}}{7\sqrt{2}}$  

•  $\frac{2\sqrt{2}}{7\sqrt{2}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\frac{\sqrt{6}}{\sqrt{50}}$  

•  $\frac{\sqrt{6}}{5\sqrt{2}}$  

•  $\frac{\sqrt{3}}{\sqrt{5}}$  

•  $\frac{\sqrt{3}}{5}$  

•  $\frac{2\sqrt{3}}{5}$  

Tags

CCSS.HSN.RN.A.2

Divide. Simplify as much as possible. $\ \ \frac{7\sqrt{60}}{\sqrt{3}}$  

•  $14\sqrt{5}$  

•  $28\sqrt{5}$  

•  $\frac{28\sqrt{15}}{\sqrt{3}}$  

•  $7\sqrt{20}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\ \ \ \ \frac{8\sqrt{5}}{2\sqrt{36}}$  

•  $\frac{\sqrt{5}}{9}$  

•  $\frac{2\sqrt{5}}{3}$  

•  $\frac{4\sqrt{5}}{3}$  

•  $\frac{4\sqrt{5}}{6}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\ \frac{5\sqrt{3}}{10\sqrt{27}}$  

•  $\frac{1}{6}$  

•  $\frac{2}{3}$  

•  $\frac{\sqrt{3}}{18}$  

•  $\frac{\sqrt{3}}{6}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $\ \ \frac{8\sqrt{14}}{12\sqrt{18}}$  

•  $\frac{2\sqrt{7}}{27}$  

•  $\frac{2\sqrt{7}}{9}$  

•  $\frac{1}{3}$  

•  $\frac{2}{3\sqrt{4}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The process of eliminating radicals from the denominator of a fraction is called ______________.

• division

• rationalizing the denominator

• rationalizing the numerator

• factoring

Tags

CCSS.HSA.APR.D.6

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

A radical express is in simplified form when which of the following conditions are met?

• The index n is as small as possible.

• The radicand contains no factors (other than 1) that are n^th powers of an integer or polynomial.

• The radicand contains no fractions.

• No radicals appear in a denominator.

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

The number or expression inside of a radical is called the ____________

• argument

• index

• radicand

• root

Which radical is simplified?

• 
• 
• 
• 

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2