Question

If three positive real numbers a,b,c are in AP such that,abc=4, then the minimum possible value of b is

Answer 1

Answer:

concept used in the question arithmetic mean >= geometric means

Step-by-step explanation:

let three nos be a-d, a ,a+d

So, (A-d + a + a-d) ÷ 3 >= cubic root of (a-d) ×(a) × (a+d)

a>= cubic root of 4

So, least value of middle no = cubic root of 4

( here `>= ` means greater than Or equal to)