Prove-a-1-a-2-for-a-gt-0-algebraically-

Question Number 135433 by naka3546 last updated on 13/Mar/21

P r o v e a + \frac{1}{a} ⩾ 2 f o r a > 0 a l g e b r a i c a l l y .

Answered by mr W last updated on 13/Mar/21

a + \frac{1}{a} = {(\sqrt{a} - \frac{1}{\sqrt{a}})}^{2} + 2 ⩾ 2

Commented by naka3546 last updated on 13/Mar/21

T h a n k y o u, s i r .