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2.2 Square and Cube Roots
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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 Square and Cube Roots
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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.
2.2 Square and Cube Roots
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Prime factorization occurs in pairs for any perfect square.
Ex. 100
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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
2.2 Square and Cube Roots
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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.
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2.2 Square and Cube Roots
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