1-3: Radical Expressions

Whenever you ADD or SUBTRACT radicals, you should

• Add or Subtract each part

• Combine Like Terms

• Multiply the outside numbers

• Add or Subtract the inside numbers

Whenever you MULTIPLY radicals, you should

• Multiply each part

• Combine Like Terms

• Multiply only the outside numbers

• Multiply only the inside numbers

Simplify the Radical Expression:

 $10\sqrt{6}+4\sqrt{2}$  

•  $14\sqrt{8}$  

•  $40\sqrt{12}$  

•  $10\sqrt{6}+4\sqrt{2}$  

•  $14\sqrt{12}$  

Simplify the Radical Expression:

 $\left(5\sqrt{5}\right)\left(3\sqrt{6}\right)$  

•  $15\sqrt{30}$  

•  $8\sqrt{11}$  

•  $8\sqrt{30}$  

•  $\left(5\sqrt{5}\right)\left(3\sqrt{6}\right)$  

Simplify:

 $\left(2\sqrt{8}\right)\left(2\sqrt{3}\right)$  

•  $4\sqrt{24}$  

•  $8\sqrt{6}$  

•  $4\sqrt{11}$  

•  $4\sqrt{6}$  

Simplify:

 $\sqrt{2}+\sqrt{2}$  

•  $\sqrt{4}$  

•  $2$  

•  $4\sqrt{2}$  

•  $2\sqrt{2}$  

Simplify:

 $\left(2\sqrt{8}\right)\left(3\sqrt{2}\right)$  

•  $6\sqrt{10}$  

•  $24$  

•  $5\sqrt{10}$  

•  $6\sqrt{4}$  

Simplify:

 $2\sqrt{6}-\ 3\sqrt{2}$  

•  $2\sqrt{6}-\ 3\sqrt{2}$  

•  $-1\sqrt{4}$  

•  $-2$  

•  $-6\sqrt{12}$  

Simplify:

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

•  $18\sqrt{6}$  

•  $3\sqrt{6}$  

•  $18$  

•  $3\sqrt{36}$  

Simplify:

 $10\sqrt{2}+3\sqrt{5}$  

•  $13\sqrt{7}$  

•  $30\sqrt{10}$  

•  $13\sqrt{10}$  

•  $10\sqrt{2}+3\sqrt{5}$