Complex Numbers

Front

Simplify: √-108

Back

6i√3

Front

What is the complex conjugate of 4-3i?

Back

4 + 3i

Front

(5-2i) + (-7+8i)

Back

-2+6i

Front

Simplify: i^7

Back

-i

Front

Simplify: (-6 - 2i)^2

Back

32 + 24i

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 √-1.

Front

What is the modulus of a complex number z = a + bi?

Back

The modulus is |z| = √(a² + b²).

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply two complex numbers?

Back

Use the distributive property and apply the fact that i² = -1.