Operations with Radicals

Radical Operations

ALWAYS Simplify Completely

Multiple Choice

$$6\sqrt{3}+2\sqrt{75}-4\sqrt{27}$$  

Simplify:

• $$16\sqrt{3}-12\sqrt{2}$$  
  

• $$2\sqrt{15}$$  

• $$28\sqrt{3}$$  

• $$4\sqrt{3}$$  

Multiple Choice

$$2\sqrt{5}-\sqrt{5}+4\sqrt{5}+\sqrt{3}$$  

• $$6\sqrt{5}+\sqrt{3}$$  
  

• $$5\sqrt{5}+\sqrt{3}$$  

• $$6\sqrt{5}$$  

• $$6\sqrt{3}$$  

Multiple Choice

Simplify:

• $$4\sqrt{30}$$

• $$\sqrt{4}\sqrt{30}$$

• $$\sqrt{2}\sqrt{30}$$

• $$2\sqrt{30}$$

Multiple Choice

Simplify:   $$\sqrt{10}⋅\sqrt{45}$$  

• $$3\sqrt{50}$$  
  

• $$8\sqrt{2}$$  
  

• $$\sqrt{450}$$  
  

• $$15\sqrt{2}$$  
  

Multiple Choice

$$6\sqrt{2}⋅5\sqrt{14}$$  

Simplify:

• $$32\sqrt{7}$$  
  

• $$60\sqrt{7}$$  
  

• $$2\sqrt{7}$$  
  

• $$30\sqrt{7}$$