9.1 D5 Dividing Radicals

​9.1 D5 Dividing Radicals

​Learning Target

​SWBAT divide radicals by using the quotient rule of radicals.

Multiple Choice

Simplify: $$\sqrt{3}\left(2\sqrt{5}+3\sqrt{2}\right)$$

• 2√15 + 3√6
• √15 + 3√6
• 2√15 + 6√2
• 4√15 + 3√6

Multiple Choice

Simplify: $$\left(\sqrt{\ 2}-3\right)^2$$

• $$11+6\sqrt{\ 2}$$

• $$11-6\sqrt{2}$$

• $$5-2\sqrt{2}$$

• $$9-4\sqrt{2}$$

Multiple Choice

Simplify: $$\left(\sqrt{5}+3\right)\left(\sqrt{5}-2\right)$$

• $$-1+\sqrt{5}$$

• $$1-\sqrt{5}$$

• $$1+\sqrt{5}$$

• $$-1-\sqrt{5}$$

​Dividing Radicals

​Examples: Simplify Radicals

Multiple Choice

Simplify: $$\sqrt{\ \frac{3}{48}}$$

• 1/6
• 1/8
• 1/12
• 1/4

Multiple Choice

Simplify: $$\frac{\sqrt{200}}{\sqrt{2}}$$

• 15
• 20
• 5
• 10

Multiple Choice

Simplify: $$\frac{2\sqrt{3}}{\sqrt{18}}$$

• 1/3
• $$\frac{\sqrt{6}}{3}$$

• 4/9
• 5/6

Multiple Choice

Simplify: $$\frac{4\sqrt{2}}{3\sqrt{5}}$$

• 1/3
• $$\frac{\sqrt{6}}{3}$$

• $$\frac{4\sqrt{10}}{15}$$

• 5/6

Multiple Choice

Simplify: $$\frac{\sqrt{4}}{4\sqrt{5}}$$

• $$\frac{\sqrt{5}}{10}$$

• $$\frac{\sqrt{6}}{3}$$

• $$\frac{4\sqrt{10}}{15}$$

• 5/6