www.iTutoring.com -­‐ NOTES Square Roots and Estimating Square Roots Name _________________________________ Date ___________________ Period _______ The number x is the square root of y if x2 = y
radical symbol
4 is a square root of 16 because 42 = 16
-4 is a square root of 16 because (-4)2 = 16
Therefore, 4 and -4 are square roots of 16
radicand
16 = 4
“square root of 16”
“ the principle (positive) square root”
- 16 = -4
“the negative square root of 16”
The number x is the square root of y if x2 = y
radical symbol
36
- 81
radicand
16 = 4
“square root of 16”
- 49
± 25
± 64
1
“ the principle (positive) square root”
- 16 = -4
“the negative square root of 16”
A perfect square is the result of an integer squared.
x
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
x2
- 196
81
A perfect square is the result of an integer squared.
x
1
2
3
4
5
6
7
8
9
10
x2
1
4
9
16
25
36
49
64
81
100 121 144 169 196 225
41
11
12
13
14
15
93
© iTutoring.com
Square Roots and Estimating Square Roots Pg. 2 A perfect square is the result of an integer squared.
x
1
2
3
4
5
6
7
8
9
10
x2
1
4
9
16
25
36
49
64
81
100 121 144 169 196 225
- 17
11
12
13
14
15
- 73
© iTutoring.com
Square Roots and Estimating Square Roots Pg. 3