Prove that the Square Root of 2
is an irrational number.
Discussion: That is, prove that this number can not be expressed as a rational fraction in lowest terms,
where the greatest common divisor of a and b is 1.
Use the Arithmetic Mean-Geometric Mean Inequality to develope an process for computing square roots of positive numbers.
SET UP AN EXCEL FILE TO IMPLEMENT THIS ALGORITHM
Extend the algorithm to cube roots and set up an Excel file to compute the cube root of a positive number.