1. Square and Cube Roots

2. Perimeter The Distance Around Add all the sides For a SQUARE –
Multiply the length of the side by 4
(SIDE LENGTH) ∙ 4
Examples

3. If Perimeter of a SQUARE is Given to You
Divide the Perimeter by 4 to find the side length
Example:
Perimeter of a square is 100, find the length of each side

4. SQUARE a Number To square means to multiply a number by itself
5 ∙ 5 = 25 or 5² = 25
8 ∙ 8 = 64 or 8² = 64
PERFECT SQUARES
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
To find the AREA of a SQUARE:
Square the length of the side
(Side Length)²

5. SQUARE ROOTS
Find the number that multiplied by itself is that number. Example

6. If Area of a SQUARE is Given to You
Take the Square Root of the Area to find the length of the side
Examples:
Area of the Square is 64. What is the length of each side?

7. CUBE a Number Find the number multiplied by itself three times
4 ∙ 4 ∙ 4 = 64 or 4³ = 64
2 ∙ 2 ∙ 2 = 8 or 2³ = 8
6 ∙ 6 ∙ 6 = 216 or 6³ = 216
Perfect Cubes
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
To find the VOLUME of a CUBE:
Cube the length of the side
(Side Length)³

8. CUBE ROOTS
Find the number that multiplied by itself three times is the cube. Find the Cube Root of:

9. If VOLUME of a CUBE is Given To You
Take the Cube Root of the VOLUME to find the side length
Example:
If the VOLUME of a CUBE is 125 in³, what is the length of each side of the cube?
More Examples

10. Estimate Square and Cube Roots
57 57 is between what two perfect squares? is between what two perfect cubes?

11. Solve Equations with Squares and Cubes
4x² - 21 = 235 3x² + 58 = 205 2(x² - 25) = 238 6x³ + 7 = 169 5x³ + 89 = (x³ - 7) = 5050