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Square day 1.notebook
May 09, 2017
Square Roots and Perfect Square Roots To find the square root of a number, you find the value that, when multiplied by itself, is equal to the given number
radical
√ x
radicand
How many square roots does the number 9 have?
Think what numbers squared
= 9
.
.
­3 ­3 = 9
3 3 = 9
Every positive number has two square roots:
one is positive, one is negative. The positive root is called the principal square root!
The negative root is called the negative square root!
_
_
Both roots are written: +
Find the two square roots of 64.
Find the two square roots of 169.
Find the two square roots of 1764.
What is the length?
Square day 1.notebook
May 09, 2017
Let's List our Perfect Squares up to 20 !
Root (x)
x2
1
2
3
4
5
Root (x)
x2
6
7
8
9
10
Let's List our Perfect Squares up to 20 !
Root (x)
11
12
13
14
15
x2
Root (x)
16
17
18
19
20
x2
Square day 1.notebook
May 09, 2017
Finding square roots of fractions
1
= 9
1
= 9
Take the square root of the numerator.
Take the square root of the denominator.
9
16
1
4
-
49
100
±
144
169
25
81
-
225
900
Square day 1.notebook
May 09, 2017
Evaluate each expression
4 81 + 7
(
___
64
____
4
36
144
)
225
___
9
Solving Equations Using Square Roots
Remember: 2
.
x x = x
x2 = 36
x2 = 121
x2 = 49
400
The area of a crop circle is 45,216 square feet. What is the radius of the crop circle? Use 3.14 for .
Square day 1.notebook
May 09, 2017
2.
10
Square day 1.notebook
May 09, 2017