This code is meant to calculate the nearest possible value to the square-root of a number.

square_root

def mid(x,y)
  midpoint = (x + y)/2.0
end

def sqrt(n,d)
  lower_range = 0
  higher_range = n
  div = mid(higher_range,lower_range)
  #midpoint = (higher_range + lower_range) / 2.0
  until (div * div) - n <=  d and (div * div) -n >= 0 do
    higher_range = div if (div * div) - n > d
    lower_range = div if (div * div) - n < 0
    div =mid(lower_range,higher_range)
    #midpoint = (lower_range + higher_range) / 2
  end
  div
end

puts sqrt(100000,0.0000001)