Simplifying Radicals and Adding and Subtracting Radicals

The number or expression under the radical sign or square root sign is called the ______.

• radical sign

• radicand

• factor

• exponent

Simplify;

 $\sqrt{96}$  

•  $4\sqrt{6}$  

•  $3\sqrt{6}$  

•  $6\sqrt{5}$  

•  $6\sqrt{8}$  

Simplify the radical...
  $\sqrt{20a^2b^4}$  

•  $2ab^2\sqrt{5}$  

•  $4ab^2\sqrt{5}$  

•  $5ab^2\sqrt{2}$  

•  $2a^2b^2\sqrt{5}$  
  

• $x^3\sqrt{x}$

• $7x\sqrt{x}$

• $x^6\sqrt{x}$

• $\sqrt{x}$
  

If √3x = 5√3 , what is x?

• 5
• 25
• 15
• 45

When adding or subtracting square roots, what number HAS TO BE THE SAME?

• The coefficient (number in front of square root)

• The radicand (number inside the square root)

• The numbers don't matter

• Both have to be the same

• $7\sqrt{3}$

• Can't Simplify

• $6\sqrt{15}$
  

• $6\sqrt{3}$

• $13\sqrt{3}$

• $10\sqrt{30}$

• $13\sqrt{6}$

• $11\sqrt{3}$

 $\sqrt{20}+\sqrt{45}$ 

•  $\sqrt{65}$  

•  $10\sqrt{5}$  

•  $5\sqrt{5}$  

•  $13\sqrt{5}$  

 $\sqrt{18}-\sqrt{8}$  

Hint: Simplify and then subtract. 

•  $\sqrt{6}$  

•  $2\sqrt{3}$  

•  $\sqrt{2}$  

•  $\sqrt{5}$