Question

what is the expansion of (x+y)^1/2

Answer 1

Answer:

Assuming x is positive if n is even (so that the n-th root of x is defined), and greater than |y| in any case:

(x+y)1/n=x1/n+1/n1!x1n−1y1+(1n)(1n−1)2!x1n−2y2…(x+y)1/n=x1/n+1/n1!x1n−1y1+(1n)(1n−1)2!x1n−2y2…

It is really no different from the binomial theorem for any other exponent.

Step-by-step explanation:

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