Question

If for any pair of two positive integers mm and nn, their arithmetic mean a(m,n)a(m,n) is defined as m+n2m+n2 while their geometric mean g(m,n)g(m,n) is defined as mnmn, is mm larger than nn?

Answer 1

Answer:

Taking square roots and dividing by two gives the AM–GM inequality. In mathematics, the inequality of arithmetic and geometric means, or more briefly .... Thus for n = 2 the AM–GM ...........................