The values of various roots can be approximated using Newton's method. For example, to approximate the value of 3/10, let x=3/10 and cube both sides of the equation to obtain x3 =10, or x-10=0. Therefore, 10 is a root of p(x)=x-10, which can be approximated by applying Newton's method. Approximate the following value of r by first finding a polynomial with integer coefficients that has a root r. Use an appropriate value of x and stop calculating approximations when two successive approximations agree to five digits to the right of the decimal point after rounding.