Objective The learner will calculate, estimate, and use square roots.

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Presentation transcript:

Objective The learner will calculate, estimate, and use square roots

Why? You may need to find out the value of irrational numbers.

Finding and Estimating Square Roots Pages 524 - 528 Lesson 10 - 3 Finding and Estimating Square Roots Pages 524 - 528

Video Squares & Square Roots

Every positive number has two square roots, a positive and a negative. The number a is a square root of b if a² = b. Example: 4² = 16 and (-4)² = 16, so 4 and -4 are square roots of 16. A radical symbol √ indicates a square root.

The expression √16 means the positive, or principal square root, of 16, which would be 4. The expression - √16 means the negative square root of 16, which would be -4. The expression under the radical sign is a radicand. You can use the symbol ± to indicate both square roots.

The squares of integers are called perfect squares. Consecutive integers 1 2 3 4 Consecutive perfect 1 4 9 16 squares You can estimate square roots by using perfect squares.

The formula d = √x² + (2x)² gives the length d of each wire for a tower. Find the length of the wire if x = 12 feet. d = √12² + (2 * 12)² (Substitute) d = √144 + 576 (Simplify) d = √720 d ≈ 26.8 The wire is approx. 26.8 feet long.

Examples in Text Page 120