1.1.7. Example: Square Roots by Newton’s Method
Exercise 1.8

Cube root

Newton's method for cube roots is based on the fact that if y is an approximation to the cube root of x, then a better approximation is given by the value

x/(y * y) + 2y

Use this formula to implement a cube-root procedure analogous to the square-root procedure. In section 1.3.4 we will see how to implement Newton's method in general as an abstraction of these square-root and cube-root procedures.)