Complex Number Operations

Front

Simplify: (-6 - 2i)²

Back

32 + 24i

Front

What is the conjugate of -2 + 5i?

Back

-2 - 5i

Front

What is i^129?

Back

i

Front

Multiply: (4 – 3i)(-7 – 2i)

Back

-34 + 13i

Front

What is (2i)(3i)?

Back

-6

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, add their real parts and their imaginary parts separately.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract their real parts and their imaginary parts separately.

Front

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

Back

The modulus is given by √(a² + b²).