Notes Day 6 Topic 10 - Rationalizing the Denominator

Math Response

In example 1a, what is the answer. Write answer in a fraction.

Type answer here

Correct Answer: \frac{7}{2}

Deg^°

Rad

Math Response

In Example 2a, what do we multiply the top and bottom of the fraction?

Type answer here

Correct Answer: \sqrt{ }

Deg^°

Rad

Multiple Choice

In Example 2b, what was the answer?

• $$\frac{\sqrt[]{60}}{\sqrt[]{25}}$$

• $$\text{}\frac{2\ \ \sqrt[]{15}}{5}$$

• $$\frac{2}{5}$$

• $$\frac{\sqrt[]{15}}{5}$$

Multiple Choice

Simplify $$\frac{4}{\sqrt{5}}$$  

• $$\frac{\sqrt{5}}{2}$$  

• $$\frac{\sqrt{6}}{2}$$  

• $$\frac{5\sqrt{10}}{5}$$  

• $$\frac{4\sqrt{5}}{5}$$  

Multiple Choice

Simplify $$\frac{2}{\sqrt{2}}$$  

• $$\sqrt{2}$$  

• $$\frac{\sqrt{6}}{3}$$  

• $$\frac{2\sqrt{3}}{3}$$  

• $$\frac{\sqrt{2}}{2}$$  

Multiple Choice

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

• $$\frac{\sqrt{15}}{6}$$  

• $$\frac{\sqrt{15}}{18}$$  

• $$\frac{5\sqrt{3}}{6}$$  

• $$\frac{5\sqrt{3}}{18}$$  

Multiple Choice

Rationalize the Denominator:

$$\frac{6}{\sqrt{3x}}$$  

• $$\frac{2\sqrt{3x}}{x}$$  

• $$\frac{9\sqrt{x}}{x}$$  

• $$\frac{18}{\sqrt{3x}}$$  

• $$\frac{6\sqrt{x}}{x}$$  

Multiple Choice

What is the conjugate of: $$5+\sqrt{7}$$  

• 18

• $$5+\sqrt{7}$$  

• $$5-\sqrt{7}$$  

• 32

Multiple Choice

Multiply: $$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$$  

• $$16-\sqrt{2}$$  

• $$4-\sqrt{2}$$  

• 14

• 18

Multiple Choice

What is the conjugate of: $$6-3\sqrt{2}$$  

• $$6+3\sqrt{2}$$  

• $$3\sqrt{2}+6$$  

• $$6-3\sqrt{2}$$  

• 18

Multiple Choice

What should you multiply $$\frac{3\sqrt{2}}{2-\sqrt{7}}$$  by to rationalize the denominator?

• $$2-\sqrt{7}$$  

• $$\sqrt{7}$$  

• $$2+\sqrt{7}$$  

• $$\sqrt{2}$$