Square and Cube RootsMRS. RAUCH
How do we square a number?
Can we square negative numbers?
Square Roots
Square Roots
Perfect Squares
What does cubing a number mean?
Cubing a number
To cube a number, you just multiply that number by itself 3 times
Example: 3 cubed is or 3 x 3 x 3The little 3 means the number appears
3 times when multiplying
Practice with cubes
4 cubed
5 cubed
6 cubed
Cube Roots
A cube root goes the other direction
3 cubed is 27 so the cube root of 27 is 3
The cube root of a number is a special value that when cubed gives the original number
The cube root of 27 is 3 because when 3 is cubed you get 27
When you see “root” think……I know the tree but what is the root that produced it?
Practice with Cube Roots
What is the cube root of 125?
What is the cube root of 8?
What is the cube root of 1000?
The cube root sign
This is a special symbol that means “cube root”, it is the radical symbol (used for square roots) with a little 3 to mean cube root
You can use it like this…. = 3 We say, “the cube root of 27 is 3
Can you cube negative numbers?
Cubing Negative Numbers
When we cube 5 we get…. When we cube -5 we get…
So can cube roots be negative?
Perfect Cubes