Imaginary & Complex 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

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property (FOIL) and combine like terms. For example, (a + bi)(c + di) = ac + adi + bci + bdi^2.

Front

What is the result of (-3i)(i)(5i)?

Back

15i.

Front

What is the square root of -81?

Back

9i.

Front

What is the value of i^13?

Back

i.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

Which of the following is not a perfect square: 81, 121, 361, 198?

Back

198.

Front

What is the square root of -4?

Back

2i.

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.