MathDB
G 5

Source:

May 25, 2007
Irrational numbers

Problem Statement

Let a,b,c a, b, c be integers, not all equal to 0 0. Show that \frac{1}{4a^{2}\plus{}3b^{2}\plus{}2c^{2}}\le\vert\sqrt[3]{4}a\plus{}\sqrt[3]{2}b\plus{}c\vert.