Roots - Exponential Expressions

Roots - Exponential Expressions

Learning Target

• I can evaluate expressions incorporating square and cube roots.

 $x^2$  and  $x^3$  

Working with Exponential Expressions

The Square Root and Cube Root

 $\sqrt{x}$   

Square/Cube Root

• Taking the square/cube root is the inverse of squaring/cubing a number.

Square Roots

• Each square has TWO square roots (one positive and one negative).

• The radical symbol indicates the positive or principal square root.

   $\sqrt{\ \ \ \ }$  
  

• For Example)  $\sqrt{25}=5\ and\ -5$  

• Can also be written as  $\pm5$  

Square Roots

• The negative square root will be indicated by the negative sign in front of the radical.

   $-\sqrt{\ \ \ }$  

• For Example)  $-\sqrt{16}=-4$  

Square Roots

• A perfect square is a number that has two whole number integers as its square root.

• For Example) 4, 9, and 16 are perfect squares.

• Commit the first 15 perfect squares to memory.

Multiple Choice

Find the two square roots of 49.

• 7 and 1

• 7 and -7

• 4 and 9

• 7 and 7

Multiple Choice

Evaluate the following.

 $\sqrt{100}$  

•  $1$  

•  $\pm10$  

•  $10$  

•  $-10$  

Multiple Choice

What is this symbol called?

 $\sqrt{\ \ \ \ }$  

• radical symbol

• dividend symbol

• square root symbol

• algebra