Hi guys,

now this is an easy one.

Given the expansion of $\displaystyle (1 + 3x)^{1/3} = 1 + x - x^2 + \frac{5}{3} x^3$

find $\displaystyle (8.24)^{1/3}$

so the problem is to get 8.24 into the form 1 + 3x i.e. x = 2.413 but it can't be that! Since the index of the expansion is 1/3 the binomial is only valid if mod x < 1/3.

Clearly I am missing something obvious!