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College Algebra  /  Alg 056  ·  Atom · ~20 seconds

The Principal nth Root

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The principal nth root of a number is the number that, raised to the nth power, equals it — taken nonnegative whenever the index n is even.

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∛8 = 2 and ∛(−27) = −3; but ⁴√16 = 2 only, because the even index keeps the nonnegative choice.

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