Complex Numbers

Front

What does i² equal?

Back

-1

Front

Multiply (2i)(3i)

Back

-6

Front

Simplify: √-108

Back

6i√3

Front

Find the sum: (5-2i) + (-7+8i)

Back

-2+6i

Front

Match the expression to the graph shown in the complex plane: -4(i²)

Back

The point (-4,0) in the complex plane.

Front

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

Back

The conjugate is a - bi.

Front

How do you add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply complex numbers (a + bi)(c + di)?

Back

Use the distributive property: ac + adi + bci + bdi², and simplify using i² = -1.