Dividing Complex Numbers

Front

What do you multiply by to begin solving the division of a complex number?

Back

Complex Conjugate of the Denominator

Front

What is the Complex Conjugate of (25 + 100i)?

Back

25 - 100i

Front

What is the Complex Conjugate of -4i?

Back

4i

Front

Define 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.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you express the division of complex numbers?

Back

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

Front

What is the complex conjugate of a complex number a + bi?

Back

The complex conjugate is a - bi.

Front

If z = 3 + 4i, what is the complex conjugate of z?

Back

3 - 4i

Front

What is the result of (2 + 3i) / (1 - 2i)?

Back

(2 + 3i)(1 + 2i) / (1 - 2i)(1 + 2i) = (8 + 7i) / 5 = 1.6 + 1.4i.

Front

What happens to the imaginary part when you take the complex conjugate?

Back

The sign of the imaginary part changes.