# Geometry – Unit 1 Review Name: _____________________________! Simplify Radicals

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```Geometry – Unit 1 Review
Simplify Radicals
Name: _____________________________!
Review
Date: ___________ Pd: ____
When we find the square root of a number that is not a perfect square, we write the number in simplified
radical form. A radical is in simplified radical form if there is no perfect square factor under the radical.
ab  a  b
Recall:
Example Problem:
Therefore,
588  ?
588
588  4
49
3
588  2
7
3
588 
14 3
OR
3
3
Simplify:
49
12
4
2
2 7
1)
75
2)
8
3)
32
4)
125
5)
80
6)
108
7)
20
8)
72
9)
150
2
7
7
7
Every pair of prime
factors is a perfect
square.
7
3 14 3
10) 28
11) 45
12) 600
Reverse the process. Un-simplify the simplified radical form. Write as one number under the radicand.
13) 2 11
14) 5 11
15) 4 6
16) Susan was asked to simplify 1200 . Her final answer was 10 12 . Was she correct? Why or why not?
SNRPDP
Unit 1: Foundations of Geometry
NVACS – Revised 2015-2016
Page 1 of 1
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