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Popular >

simplify |(1+i)/(1-i)|

Solution

simplify

\frac{1 + i}{1 - i}

Solution

1

Solution steps

\frac{1 + i}{1 - i}

Simplify

\frac{1 + i}{1 - i} : i

= ∣ i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ i ∣ = 0^{2} + 1^{2}

= 0^{2} + 1^{2}

Simplify

0^{2} + 1^{2} : 1

= 1

Apply radical rule:

1 = 1

= 1

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Frequently Asked Questions (FAQ)

What is |(1+i)/(1-i)| ?
The solution to |(1+i)/(1-i)| is 1