Operations with Complex Numbers

Front

Simplify (-6 - 2i)²

Back

32 + 24i

Front

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

Back

-2 + 6i

Front

What is the result of 2 - 3i?

Back

2 + 3i

Front

What is the conjugate of -2i + 7?

Back

7 + 2i

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 two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.

Front

How do you subtract two complex numbers?

Back

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

Front

What is the product of (a + bi)(c + di)?

Back

The product is (ac - bd) + (ad + bc)i.

Front

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

Back

The modulus is √(a² + b²).