Unit 8 Lesson 7 - Binomial Radical Expressions

Unit 8 Lesson 7 - Binomial Radical Expressions

by Bryan Guy

Multiple Choice

Divide and simplify. Assume that all variables are positive.

• $$2x$$

• $$2x^2$$

• $$4x$$

• $$4x^2$$

Multiple Choice

Divide and simplify. Assume that all variables are positive.  $$\frac{\sqrt{180x^5}}{\sqrt{5x^3}}$$  

• $$6x^2$$  

• $$12x$$  

• $$6x$$  

• $$12x^2$$  

Multiple Choice

Multiply and simplify. Assume that all variables are positive.

Multiple Choice

Multiply and simplify. Assume that all variables are positive. $$\sqrt{7x^5}\cdot\sqrt{42xy^9}$$  

• $$7xy\sqrt{6y}$$  

• $$7x^2y^2\sqrt{6y}$$  

• $$7x^3y^4\sqrt{6y}$$  

• $$7xy^3\sqrt{6y}$$  

​Guided Practice

Collaboration

Multiple Choice

2√5 + 4√5 =

• 6√10
• 8√10
• 8√5
• 6√5

Multiple Choice

1. Multiply & Simplify.

$$\left(2-\sqrt{3}\right)\left(4+\sqrt{2}\right)$$  

• $$-4$$  

• $$8+2\sqrt{2}-4\sqrt{3}-\sqrt{6}$$  

• $$8-\sqrt{6}$$  

• $$8-2\sqrt{3}-\sqrt{6}$$  

Multiple Choice

Multiply and simplify $$\left(6+\sqrt{2}\right)\left(6-\sqrt{2}\right)$$  

• $$6-2=4$$  

• $$36+4=40$$  

• $$36-2=34$$  

• Cannot be simplified

Multiple Choice

Simplify $$\left(5\ -\sqrt{11}\right)\left(5\ +\sqrt{11}\right)$$  

• 10

• -14

• 11

• 14

Homework