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Homework Statement
Expand ##(1+x)^(1/3)## in ascending powers of x as far as the term ##x^3##, simplifying the terms as much as possible. By substituting 0.08 for x in your result, obtain an approximate value of the cube root of 5, giving your answer to four places of decimals.
Homework Equations
Binomial series.
The Attempt at a Solution
Expansion as per binomial series :
##1+(1/3)x - (1/9)x^2 + (5/81)x^3##.
No idea how to find cube root of 5 by using x = 0.08.
Help please!
Sorry if I am asking too many questions - I don't have a tutor for this, I'm on my own
Thanks! :)