ALG 2 Operations with Imaginary Numbers

Front

What is an imaginary number?

Back

An imaginary number is a complex number 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

Calculate (1 − 2i)(6 + 5i).

Back

16 − 7i.

Front

What is the simplified form of (–6i)(3i)?

Back

18.

Front

What is the value of i^3?

Back

i^3 = -i.

Front

What is the value of i^4?

Back

i^4 = 1.

Front

Calculate (4 + 3i)(4 − 3i).

Back

25.

Front

Evaluate 10i^60 + 3i^122.

Back

7.

Front

What is the pattern of powers of i?

Back

The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Front

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

Back

The conjugate is a - bi.