The extension of basic inequality to three numbers refers to basic inequality, mean inequality and important inequality. The basic inequality formula of three numbers is HN = n/1/a1+1/A2+...+1/number. Basic inequalities are mainly used to find the maximum value of some functions and prove it. Indicates that the arithmetic mean of two positive real numbers is greater than or equal to their geometric mean.

Three basic inequalities

a^2+b^2≥2ab,√ab≤a+b/2≤a^2+b^2/2,a^2+b^2+c^2≥a+b+c。 2/3 ≥ AB+BC+AC, a+b+c≥3× cube root abc average inequality, also known as average inequality, is an important formula in mathematics. The content of the formula is Hn≤Gn≤An≤Qn, that is, the harmonic average does not exceed the geometric average, the geometric average does not exceed the arithmetic average, and the arithmetic average does not exceed the square average.