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Warm up
Identify the property of
addition demonstrated by
each equation.
1.
2.
3.
4.
5.
6.
Warm up
1.
2.
3.
4.
5.
6.
Be seated before the bell rings
DESK
homework
Warm-up (in
your notes)
Agenda:
Warmup
Go over hw
Quiz
Note: 1.3
Quiz – Thursday (today)
Test – next Tuesday 8/18
Notebook
1
Table of content
Page
1) 1-1 Sets of
Numbers /1.2
Properties of
Numbers
2) 1-3 Square
Roots
1
1-3 Square Roots
Glue in notes
Square
root
1 = 1
4 = 2
9 = 3
16 = 4
25 = 5
36 = 6
49 = 7
64 = 8
Square
root
81
= 9
100 = 10
121 = 11
144 = 12
169 = 13
196 = 14
225 = 15
1-3 Square Roots
Radical symbol
Radicand
4 2
 4 2
 4  2
w/o sign in front we want only
the positive value
+ indicates the positive value
- In front indicates the
negative value
How to estimate Square Roots
1. Find two perfect square
the 14 is in between
9 14
5
2. Find the difference between
: 1st & 2nd, 1st & 3rd
3. Divide the differences
7
5/7= .714
3.714
16
Estimate Square Roots
One More Try!
36 38 49
2
11
2/11= .18
6.18
Estimate Square Roots
You Try!
a)
7
b)
29
Product Property of Squares
The product of square
roots is equal to the
square root of the
product.
Example:
Quotient Property of Squares
The quotient of square
roots is equal to the
square root of the
quotient.
Example:
Like Radicals
Radicals that have the same “radicand” (same
number inside the radical) can be combined.
Keep radical and add coefficients.
Example of Like Radicals:
Unlike Radicals:
Example : Simplifying Square–Root Expressions
Simplify each expression.
A.
B.
C.
D.
More examples
Simplify each expression.
A.
B.
C.
D.
Adding and Subtracting Square Roots
Add.
: Adding and Subtracting Square Roots
Subtract.
Simplify radical terms.
Combine like radical terms.
More Check It Out!
Add or subtract.
Combine like radical terms.
More examples!
Add or subtract.
Simplify radical terms.
Combine like radical terms.
fraction has a denominator that is a square
root, you can simplify it by
rationalizing the denominator. If a
Rationalizing the Denominator
Simplify by rationalizing the denominator.
Multiply by a form of 1.
=2
Rationalizing the Denominator
Simplify the expression.
Multiply by a form of 1.
Check It Out! Example 3a
Simplify by rationalizing the denominator.
Multiply by a form of 1.
Check It Out! Example 3b
Simplify by rationalizing the denominator.
Multiply by a form of 1.
Lesson Quiz: Part I
1. Estimate
to the nearest tenth.
Simplify each expression.
2.
3.
4.
5.
6.7
Lesson Quiz: Part II
Simplify by rationalizing each denominator.
6.
7.
Add or subtract.
8.
9.