U5 LESSON 2 Radicals

​QR Lesson 2 Radicals

By Wendy Pratt​

How to simplify a radical. Teacher add cubics...

Multiple Choice

Convert $$\sqrt[]{72}$$   to its simplest radical form.

Hint: $$\sqrt[]{72}=\sqrt[]{2\cdot2\cdot2\cdot3\cdot3}$$  

• $$2\sqrt[]{36}$$  

• $$3\sqrt[]{6}$$  

• $$2\sqrt[]{12}$$  

• $$6\sqrt[]{2}$$  

Multiple Choice

Write $$\sqrt[3]{432}$$   in its simplest radical form.

Hint: $$\sqrt[3]{432}=\sqrt[3]{2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3}$$  

• $$5\sqrt[3]{2}$$  

• $$6\sqrt[3]{2}$$  

• $$2\sqrt[3]{3}$$  

• $$3\sqrt[2]{2}$$  

Multiple Choice

Simplify

$$\sqrt{24}$$  

• $$4\sqrt{6}$$  

• $$2\sqrt{6}$$  

• $$6\sqrt{2}$$  

• $$6\sqrt{4}$$  

Multiple Choice

Convert $$\sqrt[]{32}$$   to its simplest radical form.

• $$2\sqrt[]{2}$$  

• $$8\sqrt[]{2}$$  

• $$4\sqrt[]{2}$$  

• $$2\sqrt[]{4}$$  

What if you have a number on the outside?

Multiple Choice

Simplify:

$$3\sqrt{125}$$  

• $$75\sqrt{3}$$  

• $$8\sqrt{5}$$  

• $$15\sqrt{5}$$  

• $$15\sqrt{25}$$  

Add/Subtract Radicals

Multiple Choice

Add the following radicals:

$$2\sqrt[]{3}+2\sqrt[]{3}$$  

• $$4\sqrt[]{3}$$  

• $$2\sqrt[]{6}$$  

• $$4\sqrt[]{6}$$  

• 0

Multiple Choice

Add the following radicals:

$$\sqrt[]{20}+3\sqrt[]{5}$$  

(simplify first radical before combining)

• $$3\sqrt[]{25}$$  

• $$5\sqrt[]{5}$$  

• $$\sqrt[]{20}+3\sqrt[]{5}$$  

• $$7\sqrt[]{5}$$