Notam cele doua numere cu a si b, iar a = radical 5.
Media geometrica (a,b) = radical (a*b) = radical (radical 5 * b) = 5 radical 3
Ridicam aceasta relatie la puterea a doua si rezulta:
b * radical 5 = 25 * 3 = 75
b = 75/radical 5 = (75 radical 5)/5 = 15 radical 5
Am obtinut ca a = radical 5 si b = 15 radical 5
Media aritmetica (a,b) = (a+b)/2 = (radical 5 + 15 radical 5)/2 = (16 radical 5)/2 = 8 radical 5