Pythagorean Theorem and Simplifying Radicals

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What is the Pythagorean Theorem?

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How do you simplify a radical expression?

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To simplify a radical expression, factor the number under the radical into its prime factors, then pair the factors. Each pair can be taken out of the radical as a single factor.

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What is the diagonal length of a square with side length 10 yds?

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What is the height of a wall if an 8-ft ladder is leaning against it and the base of the ladder is 6 ft from the wall?

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What is a radical expression?

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What does it mean to express a number in simplest radical form?

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Expressing a number in simplest radical form means writing it as a product of a rational number and a radical, with no perfect square factors under the radical.

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What is the relationship between the sides of a 45-45-90 triangle?

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