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 number.

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Do the side lengths 3, 10, and 6 form a triangle?

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No, these side lengths do not satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side.

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How do you determine if three lengths can form a triangle?

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To determine if three lengths can form a triangle, check if the sum of the lengths of any two sides is greater than the length of the third side.

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What is the Pythagorean Theorem used for?

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The Pythagorean Theorem is used to find the length of a side in a right triangle when the lengths of the other two sides are known.