1. Square Roots
TSWBAT find square roots of perfect squares; find approximate roots of imperfect squares

2. Square roots Square root Radical Sign
Is one of two equal factors of a number
Principal square root
The positive root
Negative square root
The negative root
Radical Sign
The square root sign √

3. Square roots Perfect square 1 12 =1 √1 =1 2 22 =4 √4 =2 3 32 =9 √9 =3
Are the squares of natural numbers
Natural number
square
Square root 1
12 =1
√1 =1 2
22 =4
√4 =2 3
32 =9
√9 =3 4
42 =16
√16 =4 5
52 =25
√25 =5 6
62 =36
√36 =6 7
72 =49
√49 =7 8
82 =64
√64 =8 9
92 =81
√81 =9 10
102 =100
√100 =10 11
112 =121
√121 =11 12
122 =144
√144 =12 13
132 =169
√169 =13 14
142 =196
√196 =14 15
152 =225
√225 =15

4. Approximate value of non-perfect squares
A number that is not the square of a natural number
Find two consecutive integers that the square root is between by locating what to perfect squares it falls between

5. Approximate square roots
√12
Is between √9 and √16
Between 3 and 4
√38
Between √36 and √49
Between 6 and 7

6. Approximate square roots
√75
√64 and √81
8 and 9
√130
√121 and √144
11 and 12

7. Approximate square roots
- √29
√25 and √36
-5 and -6
- √57
√49 and √64
-7 and -8

8. Problems
Tricia estimates that √85 is about 8. Do you agree or disagree? Why?
Is √37 more or less than 6? Explain.
Is 9.5 a good first guess for √75? Why or why not?

9. In your workbook
Complete problems on page 2