Complex Numbers

Front

What is the value of i^7?

Back

-i

Front

Simplify: √-108

Back

6i√3

Front

Simplify: √-25

Back

5i

Front

Simplify: 3i - (4 + 7i)

Back

-4 - 4i

Front

What is the value of 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

The imaginary unit i is defined as the square root of -1.

Front

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

Back

The modulus of z is |z| = √(a² + b²).

Front

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

Back

The conjugate of z is denoted as z̅ = a - bi.

Front

How do you add two complex numbers?

Back

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