Roots: Simplifying and Combining

What method do you use to find the prime factors of the inside under the radical?

What are the prime factors of 84?

• 2

• 3

• 4

• 7

Find the prime factorization of 40

• 2 x 5 x 2
• 2 x 20
• 5 x 8
• 2 x 2 x 2 x 5

 $\sqrt{20}$  

• 2 $\sqrt{5}$  

• 5 $\sqrt{2}$  

•  $\sqrt{2}\sqrt{5}$  

•  $\sqrt{10}\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{42x^5y^3}\ \ \ \ =\ \ \ 4x^2y\sqrt{6xy}$                Is this equation True or False?

• True

• False

• 
• 
• 
• 

Which of the following represents the simplified form of  $\sqrt{9x^2y^3}$  ?

•  $\sqrt{3xy^2}$  

•  $3xy\sqrt{y}$  

•  $xy\sqrt{3y}$  

•  $9xy\sqrt{y}$  

Which of the following represents the simplified form of  $\sqrt{45}-\sqrt{20}$  ?

•  $\sqrt{0}$   

•  $\sqrt{5}$  

•  $5\sqrt{5}$  

•  $6\sqrt{5}$  

 True or False.   The product of  $\sqrt{8x^3}\times\ \sqrt{2xy^2}$  in simplified form is  $4x^2y$  

• True

• False

Evaluate.

• -30
• -18
• -414
• 32

Tags

CCSS.HSN.RN.A.2