Question

If n is a positive integer and n^2 is divisible by 96

Answer 1

$96 \times 1 = 96 \: \: and \: it \: is \: not \: a \: perfect \: square \\ \\ 96 \times 2 = 192 \: which \: is \: not \: a \: perfect \: square \: too \\ \\ 96 \times 3 = 288 \\ \\ 96 \times 4 = 384 \\ \\ 96 \times 5 = 480 \\ \\ 96 \times 6 = 576 \\ \\ and\: 576 \: is \: a \: perfect \: square \: of \: 24 \\ \\ and \: {24}^{2} = 576 \: is \: the \: no \: which \: is \: divisible \: by \: the \: no. \: 96$

here we got n=24

n^2 is divisible by 96