1. 2-8 Square Roots and Real Numbers
Objective: To find square roots, to classify numbers, and to graph solutions on the number line.

2. Drill #26
Rewrite each fraction in simplest form:

3. Perfect Squares Perfect Squares:
The perfect squares are numbers that have whole number square roots. They are represented by the squares above. 1 4 9 16 25 36 49

4. Squares Table x 1 11
121 2 4 12
144 3 9 13
169 16 14
196 5 25 15
225 6 36
256 7 49 17
289 8 64 18
324 81 19
361 10
100 20
400

5. Square Root ** (21.) Definition: If then x is a square root of y.
NOTE: Once the square root is evaluated, the radical is removed.
Examples:

6. Irrational Number
Definition: Numbers that cannot be expressed in the form a/b, where a and b are integers and b = 0.
Irrational numbers are decimals that do not terminate and do not repeat. Square roots of numbers that are not perfect squares are irrational.
Examples:

7. Completeness Property for Real Numbers

8. Graphing Inequalities