Minimum Value Of Expression

Banashree Patra

@banashree-patra-m0OJwR • Oct 22, 2024

Oct 22, 2024

1.2K

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.

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Prashanth_p@cchi

@prashanth-p-at-cchi-rg0z63 • May 23, 2012

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.

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zaveri

@zaveri-5TD6Sk • May 26, 2012

Prashanth_p@cchiI 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

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Prashanth_p@cchi

@prashanth-p-at-cchi-rg0z63 • May 28, 2012

zaverimaybe 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.

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Priya Nadkarni

@priya-e8RF2B • Aug 28, 2012

So C is the answer

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Shashank Moghe

@shashank-94ap1q • Sep 17, 2014

This one is a real bedbug. Wont let me sleep. Do not give away the answer easily please. Awesome one.

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