Pythagorean Theorem and Simplifying Radicals

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What is the Pythagorean Theorem?

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How do you simplify the square root of a number?

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

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What is a radical expression?

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What does it mean to express an answer in simplest radical form?

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Expressing an answer in simplest radical form means to simplify the radical expression as much as possible, removing any perfect squares from under the radical.

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What is the relationship between the sides of a 30-60-90 triangle?

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In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30° angle is the shortest.

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