1. How do you find square roots? How do you estimate square roots?
Essential Questions:
How do you find square roots?
How do you estimate square roots?

2. Vocabulary Perfect Square: A number whose square roots are integers.
Square Root: one of the equal factors that makes up the square.
Uses the “√ ” symbol
Has a positive and negative solution
Principle Square Root: the positive square root

3. Squares & Square Roots
Squares and square roots are inverse operations because they are opposites.

4. Finding Squares List the squares up to 30. 12 = 112 = 212 = 22 = 122 =
222 =
32 =
132 =
232 =
42 =
142 =
242 =
52 =
152 =
252 =
62 =
162 =
262 =
72 =
172 =
272 =
82 =
182 =
282 =
92 =
192 =
292 =
102 =
202 =
302 =

5. Finding Squares List the squares up to 30. 12 = 1 112 = 121 212 = 441
22 = 4
122 =
144
222 =
484
32 = 9
132 =
169
232 =
529
42 = 16
142 =
196
242 =
576
52 = 25
152 =
225
252 =
625
62 = 36
162 =
256
262 =
676
72 = 49
172 =
289
272 =
729
82 = 64
182 =
324
282 =
784
92 = 81
192 =
361
292 =
841
102 =
100
202 =
400
302 =
900

6. Finding Square Roots
To find a square root, think backwards from squaring.
“What number times itself makes this number?”

7. Simplify each root below and identify as a
positive root or a negative root.

8. Rational & Irrational Rational Roots: real number answers
Irrational Roots: estimated decimal answers

9. Estimating
To estimate square roots, find the two roots the number is between.

10. Determine what two consecutive integers each
irrational root lies between.

11. Estimating Practice

12. Application

13. Summary
Answer the essential questions in detailed, complete sentences.
How do you find square roots?
How do you estimate square roots?
Write 2-4 study questions in the left column to complete the notes.