Dividing Radicals

Rationalizing the Denominator

The objective is to have no square roots in the denominator. To do that we perform multiplication to the ratio that will remove the square root (cancel it) from the denominator.

Subject | Subject

Rationalize the Denominator

Example

Multiple Choice

Fully simplify....

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 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 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

Simplify the expression

$$\sqrt{\frac{125}{6}}$$  

• $$30\sqrt{30}$$  

• $$\frac{5}{6}$$  

• $$\sqrt{30}$$  

• $$\frac{5\sqrt{30}}{6}$$  

Multiple Choice

Fully simplify....