N.7 - Complex Numbers

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, defined as the square root of -1.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, which means i² = -1.

Front

Simplify: (2 - 5i)(4 + i)

Back

13 - 18i

Front

What is the sum of two imaginary numbers 3i and 2i?

Back

5i

Front

Simplify: 4 - 5i + 7 + 10i

Back

11 + 5i

Front

Simplify: -2(6 - 2i)

Back

-12 + 4i

Front

Simplify: (-2 + i)²

Back

3 - 4i

Front

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

Back

The conjugate of a complex number a + bi is 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.

Front

How do you subtract two complex numbers?

Back

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