9.1 Rationalizing the Denominator

Rationalize the Denominator

Multiple Choice

Rationalize the denominator.

$$\frac{4}{\sqrt{5}}$$  

• $$\frac{4\sqrt{5}}{5}$$  

• $$\frac{\sqrt{5}}{4}$$  

• $$\frac{\sqrt{6}}{3}$$  

• $$\frac{5\sqrt{2}}{2}$$  

Multiple Choice

Rationalize the denominator.
$$\frac{\sqrt{3}}{\sqrt{15}}$$  

• $$\frac{\sqrt{5}}{5}$$  

• $$\frac{\sqrt{3}}{12}$$  

• $$\frac{5\sqrt{2}}{2}$$  

• $$\frac{\sqrt{3}}{3}$$  

Multiple Choice

Simplify the following radical: 2√24

• 4√6
• 2√6
• 24√2
• 4√4

Multiple Choice

Simplify.

$$\frac{\sqrt[]{10}}{\sqrt[]{6}}$$  

• $$\frac{2\sqrt[]{5}}{5}$$  

• $$\frac{\sqrt[]{5}}{5}$$  

• $$\frac{\sqrt[]{15}}{3}$$  

• $$\frac{2\sqrt[]{3}}{3}$$  

Multiple Choice

Multiple Choice

Simplify:

• 2
• 4√3
• 2√3
• 4

Multiple Choice

Fully simplify....

Multiple Choice

$$\frac{3\sqrt{5}}{\sqrt{3}}$$  Fully simplify....

Multiple Choice

$$\frac{\sqrt{12x^4}}{\sqrt[]{x^5}}$$  Rationalize the denominator of the expression. Assume that all variables are positive.

• $$\frac{\sqrt{12x}}{x}$$  

• $$\frac{2\sqrt{2}}{x}$$  

• $$\frac{2x\sqrt{2}}{x}$$  

• $$\frac{2\sqrt{2x}}{x}$$  

Multiple Choice

Rationalize the denominator. $$\frac{4}{\sqrt{5x^2}}$$  

• $$\frac{4\sqrt{5}}{5x}$$  

• $$\frac{\sqrt{5}}{4x}$$  

• $$\frac{2\sqrt{5}}{5x}$$  

• $$\frac{5\sqrt{2}}{2x}$$  

Multiple Choice

$$\frac{\sqrt{y^2}}{\sqrt{y^3}}$$  Rationalize the denominator of the expression. Assume that all variables are positive.

• $$\frac{\sqrt{y}}{y}$$  

• $$1$$  

• $$\frac{1}{y}$$  

• $$\sqrt[]{y}$$  

Multiple Choice

$$\frac{4\sqrt{3}}{3\sqrt{2}}$$  Fully simplify....

Multiple Choice

Simplify the radical...
√20a²b⁴

• 2ab²√5
• 4ab²√5
• 5ab²√2
• 2a²b²√5

Multiple Choice

Simplify
√98b

• √98
• 9√9b
• 7√2b
• 7√8b