Adding and Subtracting Radicals

Adding, Subtracting, and Multiplying Radical Expressions

• I can simplify radical expressions that include addition and subtraction.

• I can simplify radical expressions that include multiplication of radicals.​

Multiple Choice

I can simplify radical expressions that include addition and subtraction.

Simplify the radical expression below.

$$4\sqrt{10}+3\sqrt{10}=$$  

• $$\sqrt{27}$$  

• $$7\sqrt{10}$$  

• $$7\sqrt{20}$$  

Multiple Choice

I can simplify radical expressions that include addition and subtraction.

Simplify the radical expression below.

$$-8\sqrt{2}-5\sqrt{98}=$$  

• $$-43\sqrt{2}$$  

• $$-15\sqrt{2}$$  

• $$-13\sqrt{2}$$  

Multiple Choice

I can simplify radical expressions that include addition and subtraction.

Simplify the radical expression below.

$$\sqrt{175}-\sqrt{28}=$$  

• $$21\sqrt{7}$$  

• $$3\sqrt{7}$$  

• $$7\sqrt{7}$$  

Multiple Choice

I can simplify radical expressions that include multiplication of radicals.​

Simplify the radical expression below.

$$\sqrt{8}\cdot\sqrt{24}=$$  

• $$\sqrt{192}$$  

• $$8\sqrt{3}$$  

• $$\sqrt{24}$$  

Multiple Choice

I can simplify radical expressions that include multiplication of radicals.​

Simplify the radical expression below.

$$6\sqrt{3}\cdot3\sqrt{6}$$  

• $$18\sqrt{2}$$  

• $$18\sqrt{18}$$  

• $$54\sqrt{2}$$  

Multiple Choice

I can simplify radical expressions that include multiplication of radicals.​

Simplify the radical expression below.

$$\sqrt{6}\cdot2\sqrt{15}=$$  

• $$6\sqrt{10}$$  

• $$2\sqrt{15}$$  

• $$2\sqrt{90}$$