Download Topic: Simplifying Radical Expressions

N 9-1
Simplifying Radical Expressions
Parts of a radical:
index
radicand
(… Radicals can also have “coefficients”)
Simplify each radical expression.
1. 48 
1. If no specific
5.
5
64 
INDEX is written, what
is it “understood” to
be?
WARM-UP:
Use your
knowledge of
Perfect Power
Numbers to
complete the
following…
_____
For the variables, Use the
INDEX to…
1. create a fractional exponent
18m3 
2.
3.
3
𝑃𝑂𝑊𝐸𝑅
𝐼𝑁𝐷𝐸𝑋
6.
4
32x 6 
22 = _____
23 = _____
2. Change it to a MIXED
fraction and use it to “simplify”
the variable part of the radical
24 = _____
(Whole number is the
“complete” powers that are
OUT of the radical; Numerator
is the power of the variable still
IN the radical)
26 = _____
 64a b 
6 7
25 = _____
27 = ______
28 = ______
7.
5
 32x y
5 10

29 = ______
210 = _______
32 = _____
The INDEX of your
answer should be the
SAME!!
33 = _____
34 = _____
35 = ______
36 = ______
4.  4 256 
42 = _____
45 = _______
37 = _______
43 = _____
46 = _______
These are
numbers you
should know!!
44 = _____
N 9-1 (day 2)
You can multiply and divide radicals only if they have the same index.
n
8. 5 24  3 8 
10.
4
n
a na

n
b
b
a  b  ab
n
4
4a2b5  8a4b10 
n
3
9.
11.
48
3

2
3
27

8
You can add radicals only when the index and radicands are the same.
12. 2 3  3 3 
13. 2 50  80  3 125 
14. 124 80  184 5 
15.
3
16  3 54 