The smallest distance between the origin and a point on the graph \(y=\frac{1}{\sqrt{2}}\left(x^2-3\right)\) of can be expressed as \(\sqrt{a}/b\), where a and b are positive integers such that a is not divisible by the square of any integer greater than one. Find a+b.
I tried just finding the zeros of the function but that was wrong. If someone could get me started but not give me the answer I would apreciate it.