Imaginary Numbers

Front

What are imaginary numbers?

Back

Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

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

Back

-38 + 45i.

Front

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

Back

-12 - 6i.

Front

Multiply: (4 - 3i)(-7 - 2i)

Back

-34 + 13i.

Front

Simplify: 2i - 7i + 10

Back

10 - 5i.

Front

What is i^3?

Back

i^3 = -i.

Front

What is i^4?

Back

i^4 = 1.

Front

What is the result of adding a real number to an imaginary number?

Back

The result is a complex number in the form a + bi, where a is the real part and b is the imaginary part.

Front

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

Back

The conjugate is a - bi.