Question

If a,b,c, are positive numbers such that abc=1 , the prove that a+b+c >=3 and 1/a + 1/b+ 1/c >=3
please solve then I can hit as brainlist​

Answer 1

Step-by-step explanation:

$Given \: that \: \: \: \: abc = 1 \\ A.M \geqslant G.M \\ \frac{a + b + c}{3} \geqslant {(abc)}^{ \frac{1}{3} } \\ a + b + c \geqslant 3 \\ \\ G.M \geqslant H.M \\ {(abc)}^{ \frac{1}{3} } \geqslant \frac{ \frac{1}{a} + \frac{1}{b} + \frac{1}{c} }{3} \\ \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \leqslant 3 \\ \\ Hope \: it \: will \: help \: you \:$