This document discusses working with roots and radicals. It provides examples of simplifying radicals with even and odd roots, including both positive and negative numbers. It also shows how to solve equations involving radicals. Examples are given for finding the perimeter and volume of shapes, as well as simplifying radicals completely.

1. Lsn 4­4: Group Work
Roots
Even Roots: The number under the radical must be positive.
The answer must be positive.
examples:
Odd Roots: The odd root of a positive number is positive.
The odd root of a negative number is negative.
examples:
Find each root:
.03 10
5 ­1
­4 10x
5 ­2
1
1

2. Roots of Equations
have 2 real roots. examples:
have 1 real root.
Solve each equation:
9. Find the Perimeter:
x=2
y=10
10. If find x.
x=­4
x=20
8) The volume of a cube is 125 cu. cm.
Find the length of an edge.
2

3. Simplifying Radicals
3

4. Examples: Simplify Completely
1.
2.
3.
4.
5.
4

5. 6.
10.
7.
11.
8. 12.
13.
9.
5