Dividing Complex Numbers 2H

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What is a complex number?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as i = √(-1).

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, i.e., i = √(-1). It is used to extend the real number system to complex numbers.

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How do you find the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi. It is obtained by changing the sign of the imaginary part.

Front

What is the conjugate of the complex number 5 + 3i?

Back

The conjugate of 5 + 3i is 5 - 3i.

Front

How do you divide complex numbers?

Back

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.

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What is the conjugate of -13 + 2i?

Back

The conjugate of -13 + 2i is -13 - 2i.

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Front

What is the conjugate of -7 - 4i?

Back

The conjugate of -7 - 4i is -7 + 4i.