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If x is a positive integer less than 50, for how many values of x is
x^2 / √ x

an integer?

2007-07-29 12:27:02 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

7 is the answer.
---------
Reason:
x^2 / √ x = x^(3/2), x ≠ 0
To get an integer result of x^2 / √ x, x must be a perfect square. Therefore, x = 1^2, 2^2, 3^2, ..., 7^2 are qualified solutions.

2007-07-29 12:44:11 · answer #1 · answered by sahsjing 7 · 1 0

It would be for the perfect squares less than 50.

x = 1, 4, 9, 16, 25, 36, 49

There are seven values of x.

2007-07-29 19:39:17 · answer #2 · answered by Northstar 7 · 2 0

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