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2.2 Perfect Squares and Cubes and their Roots

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2.2 Perfect Squares and Cubes and their Roots

1. 1. 2.2 Square and Cube Roots 1 March 05, 2014 1. Find the prime factorization of 156. 2. Find the volume of a right square  pyramid with an original height of 5 and a  base of 3. Mental Math
2. 2. 2.2 Square and Cube Roots 2 March 05, 2014
3. 3. 2.2 Square and Cube Roots 3 March 05, 2014 2.2 Perfect Squares and Perfect Cubes Pefect Square - the square of a whole number or expression Any whole number that can be represented as the area of a square with whole number side lengths. The side length is the square root of the area of the square.
4. 4. 2.2 Square and Cube Roots 4 March 05, 2014 Prime factorization occurs in pairs for any perfect square. Ex. 100
5. 5. 2.2 Square and Cube Roots 5 March 05, 2014 We can therefore use prime factorization to a.) determine if a number is a perfect square b.) find the square root of a perfect square
6. 6. 2.2 Square and Cube Roots 6 March 05, 2014
7. 7. 2.2 Square and Cube Roots 7 March 05, 2014
8. 8. 2.2 Square and Cube Roots 8 March 05, 2014 Perfect cube:the cube of a whole number or expression. Any whole number that can be represented as the volume of a cube with a whole number edge length. The edge length is the cube root of the volume of the cube.
9. 9. 2.2 Square and Cube Roots 9 March 05, 2014
10. 10. 2.2 Square and Cube Roots 10 March 05, 2014
11. 11. 2.2 Square and Cube Roots 11 March 05, 2014
12. 12. 2.2 Square and Cube Roots 12 March 05, 2014