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Exploring Square Roots and the Pythagorean Theorem By: C Berg Edited By: V T Hamilton

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Perfect Square A number that is a square of an integer Ex: 3 2 = 3 · 3 = 9 3 3 Creates a Perfect Square of 9

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Perfect Square List the perfect squares for the numbers 1-12

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Square Root The inverse of the square of a number

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Square Root Indicated by the symbol Radical Sign

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Square Root Example: 25 = 5

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Square Root Estimating square roots of non-perfect squares

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Square Root Find the perfect squares immediately greater and less than the non-perfect square

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Square Root Example: 65 The answer is between 8 2 which is 64 and 9 2 which is 81

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Pythagorean Theorem

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Formula to find a missing side of a right triangle

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Pythagorean Theorem ONLY WORKS FOR RIGHT TRIANGLES!!!

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Pythagorean Theorem Part of a Right Triangle: Hypotenuse 2 Legs

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Pythagorean Theorem a = leg b = leg c = hypotenuse

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Pythagorean Theorem a = leg b = leg c = hypotenuse The corner of the square always points to the hypotenuse

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Pythagorean Theorem Lengths of the legs: a & b Length of the hypotenuse: c

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Pythagorean Theorem The sum of the squares of the legs is equal to the square of the hypotenuse

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Pythagorean Theorem a 2 + b 2 = c 2

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Pythagorean Theorem 3 3232 4242 5252 4 5 3 2 + 4 2 = 5 2 9 + 16 = 25 25 = 25

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