Show-that-a-b-1-a-2-1-b-2-a-4-b-2-b-4-a-2-8-ab-

Question Number 9219 by tawakalitu last updated on 23/Nov/16

Show that :

(a + b) [\frac{1}{a^{2}} + \frac{1}{b^{2}}] [\frac{a^{4}}{b^{2}} + \frac{b^{4}}{a^{2}}] ⩾ 8 \sqrt{ab}

Commented by Yozzias last updated on 23/Nov/16

AM - GM inequality a, b > 0

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