Dividing (Leaving Cert Mathematics): Flashcards

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Dividing
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Method to divide complex numbers

Multiply by conjugate of denominator

Purpose of conjugate method in division

Eliminates imaginary part from denominator

Conjugate of a complex number

Same real part, opposite sign on imaginary part

Conjugate of 2+i2+i

2−i2-i

Value of i2i^2

−1-1

Result of z×z‾z \times \overline{z}

A real number (no imaginary part)

Standard form for complex numbers

a+bia+bi

How to form conjugate of a+bia+bi

Change sign of imaginary part: a−bia-bi

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