Simplifying Complex Numbers

Front

Simplify: (3 + 2i) + (4i + 6)

Back

9 + 6i

Front

Find the sum: (5-2i) + (-7+8i)

Back

-2 + 6i

Front

Simplify: √-108

Back

6i√3

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Front

Simplify: √-25

Back

5i

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 the square root of -1.

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately.

Front

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

Back

The conjugate is a - bi.

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and apply the fact that i² = -1.