Powers of I and Complex Numbers

Front

What is the sum of (4 + 5i) and (6 + 6i)?

Back

10 + 11i

Front

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

Back

-2 + 6i

Front

What is the product of (3 + 4i) and (-8 - i)?

Back

-20 - 35i

Front

Simplify -3i(4 + 2i).

Back

6 - 12i

Front

What is the simplified form of -5i?

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

What is the result of i^2?

Back

i^2 = -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.