Rationalizing the Denominator

Rationalizing the Denominator

• I can simplify radical expressions that include fractional radicands.

• I can simplify radical expressions that include rationalizing the denominator. ​

Multiple Choice

I can simplify radical expressions that include fractional radicands.

Simplify the radical expression.

$$\sqrt{\frac{4}{64}}$$  

• $$\frac{2}{8}$$  

• $$\frac{1}{4}$$  

• $$2\sqrt{8}$$  

• $$\ \frac{\sqrt{2}}{4}$$  

Multiple Choice

I can simplify radical expressions that include fractional radicands.

Simplify the radical expression.

$$\sqrt{\frac{32}{25}}$$  

• $$\frac{2}{5}$$  

• $$\frac{4}{5}$$  

• $$\frac{4\sqrt{2}}{5}$$  

Multiple Choice

I can simplify radical expressions that include fractional radicands.

Simplify the radical expression.

$$\sqrt{\frac{75}{49}}$$  

• $$\frac{5}{7}$$  

• $$5$$  

• $$\frac{5\sqrt{3}}{7}$$  

Multiple Choice

I can simplify radical expressions that include rationalizing the denominator. ​

Simplify the Radical Below

$$\frac{1}{\sqrt{10}}$$  

• $$\frac{\sqrt{10}}{10}$$  

• $$\frac{\sqrt{10}}{100}$$  

• $$\frac{1}{10}$$  

Multiple Choice

I can simplify radical expressions that include rationalizing the denominator. ​

Simplify the Radical Below

$$\frac{2}{\sqrt{6}}$$  

• $$\frac{2\sqrt{6}}{6}$$  

• $$\frac{\sqrt{6}}{3}$$  

• $$\frac{1}{2}$$  

Multiple Choice

I can simplify radical expressions that include rationalizing the denominator

Simplify the Radical Below

$$\frac{4}{\sqrt{12}}$$  

• $$\frac{2\sqrt{6}}{6}$$  

• $$\frac{8\sqrt{3}}{12}$$  

• $$\frac{2\sqrt{3}}{3}$$