Binomial Expansion QuestionWatch
- Study Helper
i) Obtain the binomial expansion of (1 + x)^1/3 up to and including the term in x^2.
ii) Hence show that (64 + 27x)^1/3 ≈ 4 + 9/16x -81/1024x^2 for small values of x.
iii) Use the result from (ii) to find an approximation for the cube root of 65, giving your answer to seven decimal places.