1. REVIEW: Perfect Squares

2. √4

3. √225

4. √49

5. √9

6. √36

7. √169

8. √1

9. √196

10. √16

11. √121

12. √64

13. √81

14. √25

15. √100

16. √144

17. Perfect Square and its Square Root
√25 = 5
THE ANSWER!

18. How do you know if a number is a perfect square?

19. The square root is a whole number
Ex. 1, 2, 3, 4... ✔

20. ✔ ✘ The square root has a terminating decimal Ex. √0.0225 = 0.15 vs.
√34 = ✔ ✘

21. ✔ ✘ The square root has a repeating decimal Ex. √1/9 = 0.3333333 vs.
√67 = ✔ ✘

22. ✔ The square Rational Number (can be written as a fraction)
Ex. √1/9 = = ⅓ ✔

23. √900000 or
√90000 ✘ ✔

24. √90000
Because there is an even number of zeros! So the answer will have half the amount of zero after the square root of 9.
=300

25. √ or
√0.0004 ✘ ✔

26. √0.0004
Because there is an even number of decimal places! So the answer will have half the amount of decimal places.
=0.02

27. √
Because there is an even number of decimal places! So the answer will have half the amount of decimal places.
=0.011

28. Estimating the Square Root of Non-perfect Squares

29. Numbers greater than 1
Ex. √41 or √7.5

30. Numbers less than 1
Ex. √0.2 or √0.59

31. Fractions
Ex. √7/18

32. Estimating the Square Root of a Non-perfect Square
Find the 2 benchmarks that are perfect squares on either side of the number.
Determine the square roots of the benchmarks
Find the halfway point for both the top and the bottom of the number line
Subtract the top benchmarks and divide it by 2
Add the answer to the first benchmark
4. Place the number that you are trying to estimate the square root for on the left or right side of the halfway point
5. Estimate the square root

33. a2 + b2 = c2
Pythagorean Theorem