How to simplify 2+i1−i completely?

Bradley Collier

Bradley Collier

Answered

2023-01-01

How to simplify 2+i1i completely?

Answer & Explanation

michellegrosscju

michellegrosscju

Expert

2023-01-02Added 9 answers

A complex number a+bi has the conjugate a-bi. A real number is the result of a complex number and its conjugate. This fact will be used to remove the complex number from the given expression's denominator.
2+i1i=(2+i)(1+i)(1i)(1+i)
=2+2i+i11+ii+1
=1+3i2
=12+32i

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