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Let each row or column includes a(natural number) students.
When students are arranged in such a manner they must be forming a square with an area of less or equal to 500.
Let the numbee of remaining students be x.
Thus,
= > rows * columns + x = 500
= > a * a + x = 500
= > a² + x = 484 + 16
= > a² + x = 22² + 16
Comparing values, number of extra students is 16.
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