Post on 18-May-2015
transcript
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 Square and Cube Roots
2
March 05, 2014
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.
2.2 Square and Cube Roots
4
March 05, 2014
Prime factorization occurs in pairs for any perfect square.
Ex. 100
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
2.2 Square and Cube Roots
6
March 05, 2014
2.2 Square and Cube Roots
7
March 05, 2014
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.
2.2 Square and Cube Roots
9
March 05, 2014
2.2 Square and Cube Roots
10
March 05, 2014
2.2 Square and Cube Roots
11
March 05, 2014
2.2 Square and Cube Roots
12
March 05, 2014