Imaginary Numbers

Front

What is an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

Simplify: √(-36)

Back

±6i.

Front

What is the product of two imaginary numbers, i and i?

Back

i * i = i^2 = -1.

Front

Simplify: 2i + 3i

Back

5i.

Front

What is the conjugate of the imaginary number 3i?

Back

The conjugate of 3i is -3i.

Front

Simplify: 4i - 2i

Back

2i.

Front

What is the result of multiplying an imaginary number by a real number?

Back

The result is another imaginary number.

Front

Simplify: -3i(4 + 2i)

Back

6 - 12i.

Front

What is the result of i^3?

Back

i^3 = i^2 * i = -1 * i = -i.