What is the conjugate of a complex number?

The conjugate of a complex number $$a + bi$$ is $$a - bi$$ .

How do you divide complex numbers?

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. For example, $$\frac{a + bi}{c + di} \cdot \frac{c - di}{c - di} = \frac{(ac + bd) + (bc - ad)i}{c^2 + d^2}$$ .

What is the modulus of a complex number?

The modulus of a complex number $$a + bi$$ is given by $$|a + bi| = \sqrt{a^2 + b^2}$$ .

What are the solutions to the equation $$x^2 + 9 = 0$$ ?

The solutions are $$3i$$ and $$-3i$$ .

What are the solutions to the equation $$2x^2 + 16 = -16$$ ?

The solutions are $$4i$$ and $$-4i$$ .

How do you find the real and imaginary parts of a complex number?

For a complex number $$a + bi$$ , the real part is 'a' and the imaginary part is 'b'.

Imaginary and Complex Numbers

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15 questions

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1.

FLASHCARD QUESTION

Front

What are imaginary numbers?

Back

Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

2.

FLASHCARD QUESTION

Front

Why do we get imaginary numbers?

Back

3.

FLASHCARD QUESTION

Front

What is the standard form for a complex number?

Back

4.

FLASHCARD QUESTION

Front

What is the imaginary unit 'i'?

Back

5.

FLASHCARD QUESTION

Front

How do you add complex numbers?

Back

6.

FLASHCARD QUESTION

Front

How do you subtract complex numbers?

Back

7.

FLASHCARD QUESTION

Front

How do you multiply complex numbers?

Back

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