The least positive integer n which will reduce ( i − 1 i + 1 ) n to a real number , is Options: A . &nbsp 2 B . &nbsp 3 C . &nbsp 4 D . &nbsp 5

Answer: Option A : A ( i − 1 i + 1 × i − 1 i − 1 ) n = ( − 2 i − 2 ) n = i n Hence, to make the real number the least positive integar is 2.

The least positive integer n which will reduce (i−1i+1)nto a real

Question -

The least positive integer n which will reduce ${(\frac{i - 1}{i + 1})}^{n}$ to a real number , is

Options:

A . 2

B . 3

C . 4

D . 5

Answer: Option A
:
A

${(\frac{i - 1}{i + 1} \times \frac{i - 1}{i - 1})}^{n} = {(\frac{- 2 i}{- 2})}^{n} = i^{n}$

Hence, to make the real number the least positive integar is 2.

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