I have a super effective alternative approach:

We know that the next bigger perfect square is \(16\) and we can express each option as \((4-x)^2\).

Now, the -ve part of this binomial has to \(≥6\), as \(16-6=10\) hence we can solve the following inequality:

\(2*4*x≥6\) \(\implies\) \(x≥\frac{6}{8}\) \(\implies\) \(x≥0.75\)

The answer closest to \((4-.75)\) is B. Done.

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