Dynamics of Algebra 2
Name: __________________________
Date: ___________________________
Block: __________________________
5.3 Simplifying Radicals
Perfect Squares
perfect square
1
2
3
4
5
6
7
8
9
10
11
12
Perfect
Squares
12 = 1 x 1
1
Simplifying Radicals
Why?
100 = ________________ because
Simplify.
1.
25
2.
4
3.
49
4.
36
5.
− 64
6.
25
Why doesn’t this method always work for
Steps
1.
Find the largest perfect square that
goes into the radicand.
Work from the largest perfect square
(without going over the value of the
radicand) to the least perfect square.
50 ?
50
50 ÷ 49 ≠ whole#
50 ÷ 36 ≠ whole#
50 ÷ 25 = 2
2.
Write the radical as a product with
perfect square.
3.
Simplify the perfect square which
permanently comes out of the
radical.
____ ⋅ ____
Perfect
Squares
1
4
9
16
25
36
49
64
81
100
121
144
Simplify.
1.
8
4.
−3 200
Solve for x.
7.
2.
12
3.
72
5.
− 32
6.
2 54
8.
25
x
8
10
4
9.
100 ⋅ 25
x
*10.
3⋅ 6
Multiplying Radicals
1.
16 ⋅ 64
2.
2 4 ⋅ −3 36
3.
4.
12 ⋅ − 3
5.
6 3⋅4 6
6.
2 ⋅− 3
−6 30 ⋅ −4 4
7.
a. Graph the equation:
y = x2 − 4
Recall:
To graph in standard form
Then use the a – table.
b. Solve the equation: x 2 − 4 = 0
c. What did you just solve for?