2017-5-4 square roots.notebook

2017­5­4 square roots.notebook
May 04, 2017
Today is Thursday
5/4/17
Do Now:
-Take calculator
-Copy down HW
-Square Roots W.S.
Warm Up: Complete the table of perfect
squares.
2
x
x
x
1
1
11
2
4
12
3
13
4
14
5
15
6
16
7
8
17
18
9
19
10
20
x
2
2017­5­4 square roots.notebook
May 04, 2017
Today's Objective:
Square Roots
The Square Root of a number is a value
that, when multiplied by itself, gives the
number.
radical
√x
radicand
2017­5­4 square roots.notebook
May 04, 2017
Every positive number has 2 square roots.
One negative and one positive
4 x 4 = 16
-4 x -4 = 16
√16
=±4
The positive square root is called the
principal square root.
Find the principal square root of each
number.
√49
=?
√121
√100 = ?
=?
2017­5­4 square roots.notebook
May 04, 2017
Finding the Square Roots of Fractions:
√
1
__
25
Find the Square Root of the numerator
and denominator.
√
4
__
25
√
81
___
=
121
Using Square Roots to Solve Equations
x2 = 144
x2 - 18 = 82
2017­5­4 square roots.notebook
The foyer of Ann's house is a square
with an area of 36 square feet.
What is the length of each side of
the foyer?
A chessboard has 32 black squares and 32
white squares arranged in a square. How
many squares are along each side of the
chessboard?
May 04, 2017
2017­5­4 square roots.notebook
May 04, 2017
Square Roots: Addition and Subtraction
√
√16 + 169 Take the square root of each number,
then evaluate the expression.
Practice!
√225 - √100
√400 + 2√144
√(37 + 12)
Hint: Take the
square root first
2017­5­4 square roots.notebook
Evaluate each expression.
a. b. c.
May 04, 2017