Question

Rewrite the following into standard form.
a) 665 × 10-27 b) 8654 × 105 c) 055555 × 10-8

Answer 1

Answer:

This is true only if a,b,c≥0

Apply AM≥GM for a,b

2a+b≥ab→ eqn 1

Apply AM≥GM for b,c

2b+c≥bc→ eqn 2

Apply AM≥GM for c,a

2c+a≥ca→ eqn 3

Multiply corresponding sides of eqn 1,2,3

⇒(a+b)(b+c)(c+a)≥8abc