Operations with Complex Numbers

Front

What is the value of i^2?

Back

-1

Front

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

Back

-5 + 12i

Front

Simplify: 2i(i + 8i^2)

Back

-2 - 16i

Front

What is -6i + 3i?

Back

-3i

Front

What is the sum of (3 + 2i) + (4 - 5i)?

Back

7 - 3i

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 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 apply the fact that i^2 = -1.

Front

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

Back

The conjugate of a complex number a + bi is a - bi.