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What is Understanding (a+b)^(1/2) Formula about?

(a+b)^(1/2) can be expanded using the binomial theorem into a power series with terms where the exponents of a and b sum to 1/2. The first three terms are: (a+b)^(1/2) = a^(1/2) + (1/2)a^(-1/2)b + (1/2)(-1/2)a^(-3/2)b^2 The exponents on a decrease by 1/2 for each successive term while the exponents on b increase by 1.

Author

Karim Megherfi

Language

EN