Explanation

We know that n is an integer.

And \(n^2 < 39\). The largest perfect square less than 39 is 36

So \(n^2 = 36\). Solving for n we get

\(n = +6\) and \(-6\).

The greatest possible value of n minus the least possible value of \(n = 6 - (-6)\).

Hence both quantities are equal. Hence option C is correct.
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correct: C
n is an integer, so it can be either positive or negative. n^2 < 39 so - (root of 39) < n < root of 39
39 doesn't have an integer root. n can be at most 6 and at least -6.
A: 6 - (-6) = 12
So A and B are equal.
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Wow you've made the problem look so easy.

we know that n is integer and n*n < 39
so the range of possible values of n is {-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6}
and n*n = {36,25,16,9,4,1,0}
A. 6-(-6) = 12
So the answer is C

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