Algebra and Applications Test 3

Question : 24 of 25

Marks: +1, -0

Consider the expression,

{(a^2+a+1)(b^2+b+1)(c^2+c+1)(d^2+d+1)(e^2+e+1)}/{abcde}

where a, b, c, d, and e are positive numbers
The minimum value of the expression is:

Solution:

Let the minimum value of a, b, c, d and e is 1. So

{(a^2+a+1)(b^2+b+1)(c^2+c+1)(d^2+d+1)(e^2+e+1)}/{abcde}=243

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