Radical Binomial Expression

7.3 Multiplying Binomial Radical Expressions Notes

Find these notes in your OneNote notebook, watch the video, and answer the practice problems!

Practice Problems

Directions: Complete the practice problems below on this notes packet. Enter your answers to check your work! Please SHOW ALL WORK in your OneNote notebook.

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

2. Multiply & Simplify.

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

• $$-6-x$$  

• $$-5-x$$  

• $$-6-5\sqrt{x}-x$$  

• $$-6-\sqrt{x}-x$$  

Fill in the Blank

3. Multiply & Simplify.

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

Multiple Choice

4. Multiply & Simplify.

$$\left(-3+\sqrt{6}\right)\left(-3+\sqrt{6}\right)$$  

• $$-21$$  

• $$15+6\sqrt{6}$$  

• $$3-6\sqrt{6}$$  

• $$15-6\sqrt{6}$$  

Multiple Choice

5. Multiply & Simplify.

$$\left(\sqrt{6}-\sqrt{2}\right)^2$$  

• $$8-4\sqrt{3}$$  

• $$4$$  

• $$8$$  

• $$36-4\sqrt{3}$$  

Fill in the Blank

6. Multiply & Simplify.

$$\left(\sqrt{7}+3\sqrt{2}\right)\left(\sqrt{7}-3\sqrt{2}\right)$$  

Poll

How do you feel about multiplying binomial radical expressions?

• I feel great, I got all of these practice problems correct!

• I feel good, I got most of these practice problems correct and understand my mistakes.

• I feel okay, but definitely need more practice.

• I am struggling and will come in for extra help.