Square and Cube Roots.

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Presentation transcript:

Square and Cube Roots

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

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

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

SQUARE ROOTS Find the number that multiplied by itself is that number. Example 81 49 16 100

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?

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

CUBE ROOTS Find the number that multiplied by itself three times is the cube. Find the Cube Root of: 3 2744 3 512 3 1331 3 729

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

Estimate Square and Cube Roots 57 57 is between what two perfect squares? 86 13 71 156 3 193 193 is between what two perfect cubes? 3 193 3 51 3 546 3 15

Solve Equations with Squares and Cubes 4x² - 21 = 235 3x² + 58 = 205 2(x² - 25) = 238 6x³ + 7 = 169 5x³ + 89 = 714 10(x³ - 7) = 5050