1. 10.1 Square Roots
Objective: students will learn about square roots and how to use them to evaluate problems.

2. Information 64 144 132 22 Square: 52 = 25 Square root: √25 = 5
-√25 = -5
±√25 = ±5
Every positive number has 2 roots
Radical sign √
Zero is own root
If a √ has a negative, it’s not possible!!!
Ex: √-25 64
144
132 22

3. Find the square or a number and root of number-st
172 62
142
√256
±√225
-√81

4. Evaluate

5. Approximate square roots
Perfect square: number that’s square of integer
22 = 4 (4 perf. sq.)
To do:
Find closest perfect square both sides
Square root
evaluate

6. Approximate square root
√51
√151

7. Approximate square root-st
√200
-√79
√39
√12.3

8. Use Calculator-rd. nearest tenth t,st√5
-√24
√74
√20.3
√135
-√27

9. Evaluating radicals 2√a + b2, when a = 11 and b = 5

10. Evaluate radicals. Given a = 30 and b = 6
√a + b - 11
Evaluate radicals. Given a = 27 and b = 3
-3√ab

11. Evaluating Expressions
1 and 2 step Square Roots
Divide Coefficient (if needed)
Square root both sides
a2 = 9
x2 = 81
5y2 = 110
2j2 = 18

12. Evaluating Expressions-st
m2 = 676
c2 = 121
3y2 = 75
2c2 = 200

13. Wrap-up
Questions/Comments
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