N.7 - Complex Numbers

Front

Simplify: (i)⁹

Back

i

Front

Simplify: 4 - 5i + 7 + 10i

Back

11 + 5i

Front

Simplify: (-2 + i)²

Back

3 - 4i

Front

Simplify: -2(6 - 2i)

Back

-12 + 4i

Front

Simplify: (2 + 3i)(2 - 3i)

Back

13

Front

Definition: Complex Number

Back

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

Definition: Imaginary Unit (i)

Back

i is defined as the square root of -1.

Front

Definition: Real Part of a Complex Number

Back

In a complex number a + bi, 'a' is the real part.

Front

Definition: Imaginary Part of a Complex Number

Back

In a complex number a + bi, 'b' is the imaginary part.

Front

Property: i²

Back

i² = -1