1. Bell Work
For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…

2. Roots (Day 2)
Lesson #8
Pg. 231

3. What You’ll Learn in Lesson #8
Finding the square roots of perfect squares
Finding the cube roots of perfect cubes
Solving equations involving squares and cubes

4. Square Roots A square root of a number is one of its two equal factors
Example
52 = 25, so 5 is the square root of 25
The radical symbol , is used to represent square roots. Positive real numbers have two square roots.
4  4 = 42 = 16
=+ 4
Positive square
root of 16
Negative square root of 16
(–4)(–4) = (–4)2 = 16
= – 4

5. Perfect Squares
The positive square root is represented by The negative square root is represented by –
The positive and negative is represented by ±
A perfect square is a number whose positive square root is a whole number. Some examples of perfect squares are shown in the table. 1 4 9 16 25 36 49 64 81
100 12 22 32 42 52 62 72 82 92
102
121
144
169
196
225
256
289
324
361
400
112
122
132
142
152
162
172
182
192
202

6. Solving Examples

7. Cube Roots A cube root of a number is one of it’s three equal factors
Be careful, you can find the cube root of a negative under the radical
Numbers such as 8, 27, and 64 are perfect cubes because they are the cubes of integers

8. Examples

9. Solving Examples

10. Homework All Groups Pg. 237-238 24 - 54 all
Retakes for the final time this semester
are to be on (or before) Friday 4th of December