Download 4-2-13 ( simplifying radicals).

Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Welcome Back!!
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Warm­Up
1. Factor the trinomial and solve for x.
x2 ­ 3x ­18 = 0
2. Solve (x + 5)2 4 ­ (7 ­ 5) =
3. The amount of money Jill earns babysitting varies directly with the number of hours she spends babysitting. Last night, she earned $32 for babysitting 4 hours. If she charges the same rate tonight, how much will she earn for babysitting 7 hours?
Mar 31­10:32 PM
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
What is a radical? Evaluate
25
49
144
Mar 31­10:49 PM
1
Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Prime factor these numbers
33
56
72
142
27
Mar 31­10:56 PM
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Simplifying Radicals
56
1. Prime factor the number under a radical
2 2 2 7
2. Look for numbers that make a perfect square. 4 2 7
3. Rewrite the factors
4 14
4 14
4. You can split the numbers under
the radical apart
(Look for the perfect squares. The numbers left over stay under the radical.)
2 14
5. Simplify
split the numbers apart (perfect squares then what is left over)
show that you take out a pair of numbers
compare with a perfect square
Mar 31­10:57 PM
2
Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
78
96
What happens when there is a number in front?
5 45
practice problems
guided practice
individual practice
Mar 31­10:58 PM
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Simplify each radical.
42
­2
75
32
­3
54
36
5
48
Apr 1­11:56 AM
3
Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
5 =
10
10 5
Quotient Property of radicals
13
13 =
100
Product Property of radicals
100
Apr 1­12:02 PM
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
***You cannot have a radical in the denominator.***
Rationalizing the denominator
5
7
=
7
7
5
7
7
= 5
49
= 5
7
7
Apr 1­12:10 PM
4
Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Simplify each radical.
20
7 45
98
3 200
12
8
11
15
Apr 1­12:24 PM
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Assignment: Worksheet
Mar 31­10:58 PM
5
Lesson 2 Simplifying Radicals.notebook
April 02, 2013
Simplifying Radicals
The students will be able to simplify radicals correctly by prime factoring the number under the radical.
Exit Ticket
Simplify each radical.
1. 50
2. 5
3. 44
102
Apr 1­12:30 PM
Apr 2­7:01 AM
6