Simplifying Complex Numbers

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Front

Simplify: 3√-81

Back

27i

Front

Simplify: (7 + 2i)(9 - 6i)

Back

75 - 24i

Front

Multiply: (2i)(3i)

Back

-6

Front

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

Back

-2 + 6i

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

The real part of a complex number a + bi is 'a'.

Front

Definition: Imaginary Part of a Complex Number

Back

The imaginary part of a complex number a + bi is 'b'.

Front

Definition: Conjugate of a Complex Number

Back

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