Complex Numbers and Roots

Front

What is the value of i²?

Back

-1

Front

Calculate: -4(13 + 5i)

Back

-52 - 20i

Front

What is the result of 2 - 3i?

Back

2 + 3i

Front

Calculate: i + 6i

Back

7i

Front

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

Back

-2 + 6i

Front

What is the definition of 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 their real parts and their imaginary parts separately.

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 multiply complex numbers?

Back

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