divide complex finction in to multiple linear functions

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im programing a small controler an have to use sqrt but the controler doesnt suport it . the controler have what they call a 24 point linearization wich means that you chose 24 x and y positions and the controler makes 23 linear functions out of it.

My cucuestion is how do i find the optimal points for the function

Y= sqrt(x) from 0 to 7, first point is x=0 and last X=7

could it be done in excel?