What is the complex conjugate for the number 7−3i?

1 Answer
Gió
Dec 20, 2014

the complex conjugate is: 7+3i
To find your complex conjugate you simply change sign of the imaginary part (the one with i in it).
So the general complex number: z=a+ib becomes ¯z=a−ib .

Graphically:
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(Source: Wikipedia)

An interesting thing about complex conjugate pairs is that if you multiply them you get a pure real number (you lost the i), try multiplying:
(7−3i)⋅(7+3i)=

(Remembering that: i2=−1)

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