Hi Guys,

Need a little hint on this one.

Expand in ascending powers of as far as the term in , simplifying the terms as much as possible. By substituting 0.08 for in your result obtain an approximate value of the cube root of 5, upto four decimal places.

I expanded the problem as a binomial series,

The rest of the question is confusing me. How do I break up 5 to include 0.08?

The only approach I could think of was,

Then using x = -3/8, to put in the above equation.

This gives me 1.7122 which is incorrect, and also does not use the suggested 0.08. Any ideas where I am going wrong?

Thanks for your help.