Complex Numbers

Front

What is 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 does the imaginary unit 'i' represent?

Back

Front

Back

Front

How do you simplify the expression (10 + 15i) - (48 - 30i)?

Back

The simplified form is -38 + 45i.

Front

Back

The result is 1.

Front

Back

Front

Back

The simplified form is 3 + 2i.

Front

Back

The simplified form is 2 - 3i.

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, such as (3 + 4i) and (1 + 2i)?

Back

To add complex numbers, combine the real parts and the imaginary parts: (3 + 1) + (4i + 2i) = 4 + 6i.