
Simplifying Square Roots
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Susan Joyce
Used 299+ times
FREE Resource
3 Slides • 15 Questions
1
By Susan Joyce
2
Method 1
Find the largest perfect square that is a factor of the number
Write the factor pair under the square root (radical) sign
Write as the product of two separate square roots
Take the square root of the perfect square. Keep the other number under the radical.
Simplify Square Roots
3
Multiple Choice
What do you need to find to simplify square roots
perfect square factor
square roots
even factors
factors of ten
4
Multiple Choice
What is the largest perfect square that goes into 96 ?
4
9
6
16
5
Multiple Choice
Simplify 45
What is the largest perfect square that is a factor of 45? 9
Write your number as the product of the perfect square and the other number.
9×5
Simplify.
95
59
35
53
6
Multiple Choice
Simplify 84
What is the largest perfect square that is a factor of 84? 4
Write your number as the product of the perfect square and the other number.
4 x 21
Simplify.
421
221
212
214
7
Multiple Choice
Simplify 150
What is the largest perfect square that is a factor of 150? 25
Write 150 as a product of the perfect square and its other factor.
25×6
Simplify.
56
65
1015
375
8
Multiple Select
Select all perfect square factors
9
3
6
64
25
9
Multiple Choice
Select all perfect square factors
5
100
144
200
121
10
Multiple Choice
Simplify 242
What is the largest perfect square that is a factor of 242? 121
Write 242 as factor of the perfect square and the other factor.
121×2
Simplify.
211
112
423
211
11
Multiple Choice
Simplify 54
What is the largest perfect square that is a factor of 54? 9
Write 54 as a factor of the perfect square and the other factor.
9×6
Simplify
96
63
69
36
12
1. This method is helpful if you cannot identify perfect square factors.
2. Factor the number in prime factors. If your number is even, you know you can always start with a factor of 2.
3. Look for pairs of factors for square roots, triples for cube roots.
4. Pull out every pair from under the radical as a single in front of the radical.
5. Drop the pair from inside the radical.
Simplify Square Roots
Method 2: Prime Factorization
13
Multiple Choice
Simplify Completely 162
29
92
654
354
14
Fill in the Blanks
Which are the best factors to use to simplify 200 ?
Type answer...
15
Fill in the Blanks
Which are the best factors to use to simplify 588 ?
Type answer...
16
Multiple Choice
Simplify 500
Use either method.
4125
510
105
1050
17
Multiple Choice
Simplify 108
Use either method.
36
63
363
336
18
Multiple Choice
Simplify 147
impossible
37
cookies
73
By Susan Joyce
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