Complex Numbers

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as i = √-1.

Front

What is the value of i²?

Back

i² = -1.

Front

How do you simplify √-36?

Back

√-36 = 6i.

Front

What is the result of (3 + 2i) + (4 - 5i)?

Back

(3 + 2i) + (4 - 5i) = 7 - 3i.

Front

How do you combine like terms in complex numbers?

Back

Combine the real parts and the imaginary parts separately.

Front

What is the result of 3i + 5i + 2i + 10?

Back

3i + 5i + 2i + 10 = 10i + 10.

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.

Front

What are the real and imaginary parts of the complex number 4 + 3i?

Back

The real part is 4 and the imaginary part is 3.

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

(a + bi)(c + di) = ac + adi + bci + bdi² = (ac - bd) + (ad + bc)i.

Front

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

Back

The conjugate of a complex number a + bi is a - bi.