Easy Complex Number Problem

Algebra Level 1

Calculate the value of:- 1 i \frac{1}{i} Here i is square root of -1

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1 i Not defined -i

Aman Sharma by Aman Sharma , 25, India

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3 solutions

1 = i 4 . . . . 1 i = i 4 i = i 3 = − i 1=i^4....\dfrac{1}{i} =\dfrac{i^4}{i} = i^3 = -i

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1 i = 1 i × i i = i i 2 = i − 1 = − i \displaystyle \frac{1}{i} = \frac{1}{i} \times \frac{i}{i} = \frac{i}{i^{2}} = \frac{i}{-1} = \boxed{-i} ~!~

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Melvin Alas-as
Aug 24, 2014

1/√-1

Rationalize

1/√-1(√-1/√-1)

√-1/-1

-√-1

-i

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