Question

Approximate rad 55 to 3 decimal places
do not use calculator use only binomial expansion Theorem
i got up to (49+6)^(1/2)

Answer 1

(49+6)^(1/2) = n C o W^(1/2)
plug it in to (W+U)^n which is
nCoW^n + nC(1) W^(n-1)U ...... +nCn U^n
will this work?

Answer 2

this is what you want

http://en.wikipedia.org/wiki/Binomial_theorem#Generalisations

Answer 3

\[(49+6)^{1/2} = \sqrt{49} + \frac{1}{2}\frac{6}{\sqrt{49}}-\frac{1}{8} \frac{6^2}{(\sqrt{49})^3} ...\]

Answer 4

thank you

Answer 5

yw