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Question

If a, b, c are real numbers, then the value of `sqrt(a^-1 b), sqrt(b^-1 c), sqrt(c^-1 a) `  is :


Options:
A .  0
B .  1
C .  `1/(ab)`
D .  ab
Answer: Option B

`sqrt(a^-1 b), sqrt(b^-1 c), sqrt(c^-1 a) `  =`(a^-1)^(1/2).b^(1/2).(b^-1)^(1/2). c^(1/2).(c^-1)^(1/2).a^(1/2)`

=`(a^-1 a)^(1/2).(b.b^-1)^(1/2).(c.c^-1)^(1/2)` = `(1)^(1/2).(1)^(1/2).(1)^(1/2)` = (1 x 1 x 1 ) = 1.




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