Complex Numbers

Front

Simplify: √-25

Back

5i

Front

Simplify: √-108

Back

6i√3

Front

What is i^7?

Back

-i

Front

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

Back

-2+6i

Front

What is i^66?

Back

-1

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

i is defined as the square root of -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 complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply complex numbers?

Back

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