Complex Conjugate Precalculus

Front

What is the conjugate of -2i + 7?

Back

7 + 2i

Front

Simplify (-10 + 6i)/17.

Back

(-10 + 6i)/17

Front

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

Back

74

Front

What is the complex conjugate of 4 - 3i?

Back

4 + 3i

Front

What is the definition of a complex conjugate?

Back

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

Front

If z = a + bi, what is the complex conjugate of z?

Back

The complex conjugate of z is a - bi.

Front

How do you multiply two complex conjugates?

Back

(a + bi)(a - bi) = a^2 + b^2.

Front

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

Back

3^2 + 4^2 = 9 + 16 = 25.

Front

What is the formula for the modulus of a complex number z = a + bi?

Back

|z| = √(a^2 + b^2).

Front

What is the real part of the complex number 5 + 2i?

Back

5