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Roots Study Guide
Value
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Squaring the Value
1! = 1×1 = 1
2! = 2×2 = 4
3! = 3×3 = 9
4! = 4×4 = 16
5! = 5×5 = 25
6! = 6×6 = 36
7! = 7×7 = 49
8! = 8×8 = 64
9! = 9×9 = 81
!
10 = 10×10 = 100
11! = 11×11 = 121
12! = 12×12 = 144
13! = 13×13 = 169
14! = 14×14 = 196
15! = 15×15 = 225
Square Root
1
4
9
16
25
36
49
64
81
100
121
144
169
196
225
Square root: One of the two equal factors of a number.
Squared: Another way to say raised to the second power.
Perfect square: A whole number that can be rewritten as the square of an integer
Radical sign: The symbol
, used to denote a square root
Scaffolding questions and stem sentences –
• It is not a perfect square because…
• The square root of this perfect square is…
• What should you do when the value isn’t a perfect square?
• What two perfect squares does the number fall between?
• What two whole numbers down the square root of the number fall between?
What is the square root of 225?
The square root of 87 falls between which two
whole numbers?
A square has an area of 169 square feet. What is
the length of each side?
Result
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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