If positive real numbers a,b,c are in a.p such

[M7MBA]

If positive real numbers a,b,c are in a.p such that abc=4 Then the minimum value of b is
a)2^(1/3)
b)2^(2/3)
c)2^(1/2)
d)2^(3/2)
e)2^(1/4)

The OA is the option B.

I am really confused here. Experts, could you clarify this PS question to me? Thanks in advanced.

[Scott@TargetTestPrep]

If positive real numbers a,b,c are in a.p such that abc=4 Then the minimum value of b is
a)2^(1/3)
b)2^(2/3)
c)2^(1/2)
d)2^(3/2)
e)2^(1/4)

The OA is the option B.

I am really confused here. Experts, could you clarify this PS question to me? Thanks in advanced.

We see that a product of the three numbers is 4. The minimum value of b occurs when all three numbers are equal. Therefore, we have a = b = c, and hence:

b^3 = 4

b = 4^(1/3) = (2^2)^(1/3) = 2^(2/3)

Answer: B