Last Flashcard: Imaginary & Complex

Front

What is the sum of (5-2i) + (-7+8i)?

Back

-2 + 6i

Front

Which expression is equivalent to (-6 + i)²?

Back

35 - 12i

Front

Simplify \(\sqrt{-4}\)

Back

2i

Front

What is the complex conjugate of 4-3i?

Back

4 + 3i

Front

What is the product of (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 \(i = \sqrt{-1}\).

Front

How do you add complex numbers?

Back

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

Front

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

Back

The complex conjugate of a + bi is a - bi.

Front

What is the result of multiplying two imaginary numbers, such as (ai)(bi)?

Back

The result is -ab, where a and b are real numbers.