The square root of a number is greater than the square of the number. For what set of numbers is this true?

The square root requires the number x to be nonnegative. For x > 0, the inequality √x > x² is equivalent to x^(1/2) > x²; dividing by x^(1/2) gives 1 > x^(3/2), which holds when 0 < x < 1. The endpoints do not work: at 0 both sides are equal, and at 1 both sides are equal. So the answer is A, (0, 1).

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