Download Square Roots, Cube Roots and Nth Roots

Trig/Alg 3
U2D1 Radicals
Name____________________________
Date _________________ period ___
1
Rational Numbers
Irrational Numbers
4
9
16
Perfect square are _____________________________________
25
Parts of the radical
n
index
k
If there is no index written (such as
36
radical sign
49
radicand
64
12 ) it is always assumed to be a “2”
Examples:
Simplify:
a.
4
81
b.
25
c.
27
100
121
Examples:
Simplify:
a.
12
b.
75
c.
24
144
169
196
225
1
Error Analysis:
d. One student was taking a test and had to simplify
81 . This is what she did:
81  9  3
THIS IS INCORRECT!!! WHAT DID SHE DO WRONG?
e. What is wrong with this one?
18  6  3
THIS IS WRONG!!! WHY?
Example:
f.
2 32
g.
5 45
h.
1
48
4
Complete the following. Simplify completely.
1
1.
 169
2.
3 48
3.
7 50
4.
1
90
2
5.
112
6.
 98
4
9
16
25
36
49
64
81
100 121 144 169 196 225
What is one thing you feel confident about understanding with roots?
1. What is one thing you need more work with?
2