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# Minimum Value Of Expression

If a; b are positive real variables whose sum is a constant z, then the minimum
value of
sqrt((1 + 1/a)(1 + 1/b) )is
(A) z-1/z (B) z+ 2/z (C) z + 1/z (D) none of the above.
I think, the Answer is B.
Explanation: Considering a and b to be 1(simple value).
The equation would yield 2, which matches with option 2.
Correct me if I am missing something.
zaveri • May 26, 2012
Prashanth_p@cchi
I think, the Answer is B.
Explanation: Considering a and b to be 1(simple value).
The equation would yield 2, which matches with option 2.
Correct me if I am missing something.
maybe you are not right

if a=1 and b=1 then z=2

the equation gives 2

but option B gives 3
zaveri
maybe you are not right

if a=1 and b=1 then z=2

the equation gives 2

but option B gives 3
Apologies!!!!!!! I considered it to be (z + 2)/2.
Priya Nadkarni • Aug 29, 2012