1. 11.1 Square Roots Definition Example
Square root - a number that produces a specified quantity when multiplied by itself.
The square root of 25 is 5, since 5 x 5 = 25.
Perfect square or Square number – A number that is the square of an integer.
9 is a perfect square because 9 = 32
Radical expression – An expression involving a radical sign.
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2. Finding Square Roots
Square Root – A number which, when multiplied by itself, results in another number.
52 = 25
So, the square root of 25 is 5.
We write it:

3. Perfect Squares
Perfect square – A number that is a square of a whole number.
Can be represented by arranging objects in a square.
You need to memorize the first 15 perfect squares.

4. Perfect Squares Write this down! Lets find them… Squared
Square Root
Squared
Perfect Square
Square Root
12 = 1
√1=1
92 = 81
√81=9
22= 4
√4=2
102 =
100
√100=10
32 = 9
√9=3
112 =
121
√121=11
42 = 16
√16=4
122 =
144
√144=16
52 = 25
√25=5
132 =
169
√169=13
62 = 36
√36=6
142 =
196
√196=14
72 = 49
√49=7
152 =
225
√225=15
82 = 64
√64=8
Write this down!

5. Square Roots

6. Estimating Square Roots.
Since 37 is not a perfect square, we have to use another method to calculate it’s square root.
Most numbers are NOT perfect squares and their solutions are not whole numbers.

7. Find the two square roots of the number.49
121
3600

8. Evaluate the square root.

9. Find the side length of the square with the given area.

10. Evaluate the expression when x=2, y=5, and z=-1.

11. Solve the equation. .