Complex Numbers

Front

What is the square root of -81?

Back

9i

Front

What is the square root of -36?

Back

6i

Front

What letter usually represents the imaginary number?

Back

i

Front

What is (5-3i) + (-6+2i)?

Back

-1-i

Front

What is (10+3i) * (2-9i)?

Back

47-84i

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 add complex numbers?

Back

To add complex numbers, combine their real parts and their imaginary parts separately.

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and combine like terms, remembering that i^2 = -1.

Front

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

Back

The conjugate is a - bi.