Grade 11Algebra
simplify : (1+i/1-i)^(4n+1) n element of N pls answer it fast as i need the answer as soon as possible.
simplify : (1+i/1-i)^(4n+1) n element of N pls answer it fast as i need the answer as soon as possible.
1 Answer
Vikas TU
Approved Tutor Answer10 Years ago(1+i/1-i)^(4n+1) can be ationalised.
First Rationalise it.
(1 + i)*(1+ i)/(1 – i^2) = > (1 – 1 + 2i)/(1 +1)
= > 2i/2
= > i
Now, i^(4n +1) = i^4n * i^1 = 1*I^1 = i (iota )
First Rationalise it.
(1 + i)*(1+ i)/(1 – i^2) = > (1 – 1 + 2i)/(1 +1)
= > 2i/2
= > i
Now, i^(4n +1) = i^4n * i^1 = 1*I^1 = i (iota )
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