4.8A Homework

Front

What is the result of the expression (4 − 7i) − (-3 + 6i)?

Back

7 − 13i

Front

Simplify the expression \sqrt[]{-45}.

Back

3i√5

Front

What is the result of the subtraction (8 + 7i) - (6 + 3i)?

Back

2 + 4i

Front

Simplify the radical \sqrt{-28}.

Back

2i√7

Front

What is the simplified form of \sqrt{300}?

Back

10√3

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, i.e., 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 subtracting complex numbers?

Back

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

Front

What is the simplified form of \sqrt{-1}?

Back

i