Geometric mean of two numbers

Question

I need to find the geometric mean of 0 and 600. Would it just be the square root of 600? I know that the formula is $$ \bar x_{\mathrm{GM}} = \left(x_1 x_2 \cdots x_n\right)^{1/n}, $$ but in this case one of my values is 0, so I'm not sure.

Answer 1

I think you should trust the formula: it is zero. (Whether it is useful to talk about the geometric mean of a list including zero is a different question.)