As perfect as a square! 2

A perfect square is the product of some integer with itself.

In this case, let $a = a_{1}a_{2}$ , where $a_{2}$ is the largest square dividing $a$ . Likewise, let $b = b_{1}b_{2}$ and $c = c_{1}c_{2}$ . Since $ab, bc, ac$ is a perfect square, $a_{1} = b_{1} = c_{1} = x$ for some value $x$ in which $a, b, c$ are not perfect squares. Therefore the smallest possible value of $x$ must be $2$ , and the smallest possible values for $a_{2}, b_{2}, c_{2}$ are $1, 4, 9$ in some order.

Therefore we can conclude that

$a + b + c = 2 \times 1 + 2 \times 4 + 2 \times 9 = 28$

...but I like cookies

The answer should've been "I like cookies". Everyone likes cookies...