How do you simplify \frac{1}{1+i}?

Lorraine Harvey

Lorraine Harvey

Answered question

2022-01-16

How do you simplify 11+i?

Answer & Explanation

Mary Nicholson

Mary Nicholson

Beginner2022-01-17Added 38 answers

11+i
You multiply by the complex conjugate the denominator with the sign changed:
1i1i
11+i1i1i
1i1i+i+i2
1i1i2
1i112
1i1(1)
1i2
Mary Herrera

Mary Herrera

Beginner2022-01-18Added 37 answers

1i2
Explanation:
11+i
(191+i)(1i1i)
rationalizing the denominator, by multiplying and Dividing by the conjugate of the denominator
1i1i2
(12)i2,as i2=1

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