The Heron method is a method the ancient Greeks used to compute the square root of a number n. The method generates a sequence of numbers that represent better and better approximations for sqrt n. The first number in the sequence is an arbitrary guess; every other number in the sequence is obtained from the previous number prev using the formula Please use simple python

1/2(prev + (n/prev))

Write function heron () that takes as input two numbers:n and error. The function should start with an inital guess of 1.0 for sqrt n and then repeatedly generate better approximations until the differenve ( more precisely, the absolute value of the difference) between successive approximations is at most error.

>>> heron (4.0, 0.5)

2.05

>>> heron (4.0, 0.1)

2.000609756097561