1. Texas Algebra I
Lesson 34: Square Roots

2. Lesson Objectives: The student will be able to:
Identify and define “perfect square”
Estimate square roots based upon relative position to “perfect squares”
Simplify square roots in simplest radical form

3. Square root
Question: What does it mean to square a number? Question: What is a “perfect square”?

4. Perfect Squares
Best practice: Memorize perfect squares to 25. 1² = 1 8² = 64 15² = ² = 484 2² = 4 9² = 81 16² = ² = 529 3² = 9 10² = ² = ² =576 4² = 16 11² = ² = ² = 625 5² = 25 12² = ² = 361 6² = 36 13² = ² = 400 7² = 49 14² = ² = 441

5. Non-perfect squares
Estimate using perfect squares. Example: √39 The √39 is approx. 6.3
√ √ √49 6 7

6. Simplest Radical Form
Sometimes we don’t want an estimate. Non-perfect squares “square roots” are irrational, so any decimal answer is rounded. To get an exact answer, we can simplify to “simplest radical form”. That is, the answer has a radical term. Example: √75

7. Lesson Objectives: The student will be able to:
Identify and define “perfect square”
Estimate square roots based upon relative position to “perfect squares”
Simplify square roots in simplest radical form