How do I find the complex conjugate of 125i?

Joan Thompson

Joan Thompson

Answered

2022-01-18

How do I find the complex conjugate of 125i?

Answer & Explanation

Timothy Wolff

Timothy Wolff

Expert

2022-01-19Added 26 answers

To find a conjugate of a complex number we first have to convert it to a form a+bi.
To do this here we can multiply both numerator and denominator by i.
z=125i=12i5i2=12i5=12i5
Now to calculate the conjugate we just have to change sign of the imaginary part:
z=12i5
Kindlein6h

Kindlein6h

Expert

2022-01-20Added 27 answers

ln a+bi from, this starts off as:
0+125i
Note [125i=1251i][12i5=125i]
125i(ii)=12i5i2=12i5
We currently have:
a+bi=0+12i5
The conjugate is abi, thus we get:
abi=012i5
=12i5=125i

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