Simplifying Radicals

Simplifying Radicals

Multiple Choice

 $\sqrt{384}$  

•  $8\sqrt{6}$  

•  $5\sqrt{5}$  

•  $3\sqrt{7}$  

• 10

Multiple Choice

 $\sqrt{288}$  

•  $5\sqrt{7}$  

•  $7\sqrt{7}$  

•  $12\sqrt{2}$  

• 16

Multiple Choice

 $\sqrt{54}$  

•  $7\sqrt{3}$  

•  $3\sqrt{7}$  

•  $5\sqrt{5}$  

•  $3\sqrt{6}$  

Multiple Choice

 $\sqrt{80}$  

•  $16\sqrt{2}$  

•  $4\sqrt{5}$  

•  $7\sqrt{5}$  

•  $8\sqrt{2}$  

Steps to simplify

• Write it down

• Complete prime factorization

• Circle groups of 2 in the prime factorization

• Anything that was circled goes out of the radical and gets multiplied.  Anything not circled stays under the radical.  Example:  If you have circled two groups of 2 and a group of 3s then 2x2x3=12 goes out of the radical

• Check using Desmos for equivalency