# Sum of the square root of integers from 1 to n

## Homework Statement

I want to know whats the formula to calculate the sum of the square root of integers from 1 to n.
I got an identity from wikipedia but its too complicated for me, it involves bernoulli's number, i don't know what is that.

## The Attempt at a Solution

In excel i managed to get a power regression and i got the formula 0.701n^(1.492), its kind of accurate but not 100%.

I hope someone could help me.
Thanks

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EnumaElish
Homework Helper
Bernoulli numbers

Bernoulli numbers may be calculated by using the following recursive formula:
$$\sum_{j=0}^m\left(\begin{array}{ c } m+1 \\ j \end{array}\right)B_j=0$$
for m > 0, and B0 = 1.

D H
Staff Emeritus