How do you divide (\frac{5}{1+i})?

Natasha Henry

Natasha Henry

Answered question

2022-01-30

How do you divide (51+i)?

Answer & Explanation

lirwerwammete9t

lirwerwammete9t

Beginner2022-01-31Added 9 answers

Multiply the numerator/denominator by the complex conjugate of the denominator the conjugate of 1+iis 1i
=5(1i)(1+i)(1i)
=55i1i2i2=1
=55i2=12(55i)
seibesitoeu

seibesitoeu

Beginner2022-02-01Added 12 answers

Dividing by complex numbers is the same as multiplying by the complex conjugate:
Complex Conjugate of a complex number a+biis abi.
Multiplying by the complex conjugate, we now have
5(1i)(1+i)(1i)
5(1i)1i2
Recall that i2=1. This all simplifies to
52(1i)

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