2016­4­17 square roots.notebook
April 18, 2016
Today is Monday
4/18
Do Now:
-Take out Notebook
-Copy down HW
Warm Up: Complete the table of perfect
squares.
1
1
11
2
4
12
3
13
4
14
5
15
6
16
7
8
17
18
9
19
10
20
1
2016­4­17 square roots.notebook
April 18, 2016
Module 7
Lesson 1- Square Roots
Student Outcomes:
Students will calculate the square root of
perfect squares.
Students will solve simple square root
equations.
The Square Root of a number is a value
that, when multiplied by itself, gives the
number.
radical
√x
radicand
2
2016­4­17 square roots.notebook
April 18, 2016
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.
3
2016­4­17 square roots.notebook
April 18, 2016
Find the principal square root of each
number.
√49
=?
√100 = ?
√121
=?
Finding the Square Roots of Fractions:
√
1
__
25
Find the Square Root of the numerator
and denominator.
√1
√25
=
1
5
√
9
81
___
=
121
11
4
2016­4­17 square roots.notebook
April 18, 2016
Using Square Roots to Solve Equations
x2 = 144
x2 - 18 = 82
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?
5
2016­4­17 square roots.notebook
April 18, 2016
A chessboard has 32 black squares and 32
white squares arranged in a square. How
many squares are along each side of the
chessboard?
Square Roots: Addition and Subtraction
√
√16 + 169 Take the square root of each number,
then evaluate the expression.
4 + 13
17
6
2016­4­17 square roots.notebook
April 18, 2016
Practice!
√225 - √100
√400 + 2√144
Hint: Take the
square root first
√(37 + 12)
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