Unit 3: Day 3: Add Subtract Radicals

Add Subtract Radicals

By Darryl Padgett

Multiple Choice

Simplify the radical expression:
$$\sqrt{2x^2y^3}$$  

• $$2y\sqrt{xy}$$  

• $$2x\sqrt{y^2}$$  

• $$y\sqrt{2xy}$$  

• $$xy\sqrt{2y}$$  

Multiple Choice

Simplify the radical expressions

• $$y^2z^{10}\sqrt{xy}$$

• $$20yz\sqrt{xy}$$

• $$xy^2z^{10}\sqrt{y}$$

• $$y^yz^5\sqrt{xy}$$

Multiple Choice

Simplify: $$\sqrt[]{64x^9}$$  

• 8x⁹
• 8x³
• 8x⁴ $$\sqrt[]{x}$$  

• 8x³ $$\sqrt[]{x}$$  

Multiple Choice

$$\sqrt[3]{64x^{12}y^{24}}$$

• 4x⁴y8

• 8x⁴y⁸

• 16x⁴y⁸

• 4xy

Multiple Choice

Simplify the redical expression

• A

• B

• C

• D

Multiple Choice

$$3\ \sqrt[]{18}\ -\ 2\ \sqrt[]{2}$$  

• $$7\sqrt[]{2}$$  

• $$\sqrt[]{16}$$  

• $$\sqrt[]{2}$$  

• Already simplified 

Multiple Choice

Simplify  $$9\ \sqrt[]{2}\ +12\ \sqrt[]{3}$$  

• $$21\ \sqrt[]{5}$$  

• $$21\ \sqrt[]{2}$$  

• $$21\ \sqrt[]{3}$$  

• Already simplified 

Math Response

Simply the expression

$$5x\ \sqrt[]{x^3y}+2\ \sqrt[]{x^5y}$$

Type answer here

Correct Answer: 7x^2\sqrt{xy}

Deg^°

Rad