Dividing (Leaving Cert Mathematics): Quizzes

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Dividing
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9 questions from this quiz

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What is multiplied to eliminate the imaginary part from the denominator?

The conjugate of the denominator

What is the conjugate of 2+i2+i?

2−i2-i

What does z‾\overline{z} represent?

The conjugate of zz

What is the value of i2i^2?

−1-1

What results from multiplying zz by its conjugate z‾\overline{z}?

Eliminates imaginary component

In 1+i2+i\frac{1+i}{2+i}, what is the first step?

Multiply by 2−i2−i\frac{2-i}{2-i}

What is (2+i)(2−i)(2+i)(2-i) simplified?

55

What is the standard form for writing complex numbers?

a+bia+bi

What is 3+i5\frac{3+i}{5} in standard form?

35+15i\frac{3}{5}+\frac{1}{5}i

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