Texas Algebra I Lesson 34: Square Roots.

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Presentation transcript:

Texas Algebra I Lesson 34: Square Roots

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

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

Perfect Squares Best practice: Memorize perfect squares to 25. 1² = 1 8² = 64 15² = 225 22² = 484 2² = 4 9² = 81 16² = 256 23² = 529 3² = 9 10² = 100 17² = 289 24² =576 4² = 16 11² = 121 18² = 324 25² = 625 5² = 25 12² = 144 19² = 361 6² = 36 13² = 169 20² = 400 7² = 49 14² = 196 21² = 441

Non-perfect squares Estimate using perfect squares. Example: √39 The √39 is approx. 6.3 √36 √39 √49 6 7

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

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