Pre Calc - Complex Numbers Flashcard - 1

Front

What does i² equal?

Back

-1

Front

What is the result of (3 + 8i)(-2 - i)?

Back

2 - 19i

Front

What is (2 + 3i)² equal to?

Back

-5 + 12i

Front

Simplify: (3 + 2i) + (4i + 6)

Back

9 + 6i

Front

What is the result of 4 + 5i + 6 + 6i?

Back

10 + 11i

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 the real parts and the imaginary parts separately.

Front

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

Back

The conjugate is a - bi.

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and apply the fact that i² = -1.