Mastering Square and Cube Roots: Learn, Practice, and Understand

1. Square and Cube Roots Mrs. Rauch

2. How do we square a number? • Can we square negative numbers?

3. Square Roots

4. Square Roots

5. Perfect Squares

6. What does cubing a number mean?

7. 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 3 • The little 3 means the number appears 3 times when multiplying

8. Practice with cubes • 4 cubed • 5 cubed • 6 cubed

9. 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?

10. 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?

11. 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

12. Can you cube negative numbers?

13. Cubing Negative Numbers • When we cube 5 we get…. • When we cube -5 we get… • So can cube roots be negative?

14. Perfect Cubes