Adding, Subtracting, and Multiplying Radical Expressions

Simplifying Radical Expressions

• I can simplify radical expressions that include perfect square roots

Definitions

• Radical - An expression that uses a root, such as a square root, cube root.

• Radicand - What is on the inside of the root symbol.

• Index - the number which tells you which root you are using. If there is no index, you assume it is 2

Multiple Choice

I can simplify radical expressions that include perfect square roots.

Simplify the radical below.

$$\sqrt{80}$$  

• $$4\sqrt{5}$$  

• $$\sqrt{16\cdot5}$$  

• $$2\sqrt{20}$$  

Multiple Choice

I can simplify radical expressions that include perfect square roots.

Simplify the radical below.

$$\sqrt{162}$$  

• $$2\sqrt{9}$$  

• $$\sqrt{81\cdot2}$$  

• $$9\sqrt{2}$$  

Multiple Choice

I can simplify radical expressions that include perfect square roots.

Simplify the radical below.

$$\sqrt{147}$$  

• $$7\sqrt{3}$$  

• $$\sqrt{7\cdot3}$$  

• $$3\sqrt{7}$$