Complex Number Operations and Conjugates

What is the product of the complex conjugates 8 + i and 8 - i?

• 62

• 63

• 64

• 65

What is the product of the complex conjugates 5 - 4i and 5 + 4i?

• 41

• 39

• 40

• 38

What is the product of the complex conjugates -7 - 2i and -7 + 2i?

• 53

• 50

• 52

• 51

What is the real part of the complex number 6 - 3i?

• -6

• 3

• -3

• 6

Refer to the above image, what is the conjugate of the denominator?

• 8 + 6i

• 6 + 8i

• 6 - 8i

• -6 +8i

Simplify: -11 + 3i + 9 + 2i

• -20 + 5i

• -2 + 6i

• -2 + 5i

• -20 + 6i

Simplify: 4 + i + 7 - 5i

• 1 - 4i

• 1 + 4i

• 11 + 4i

• 11 - 4i

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

• 9 - 8i

• 9 + 8i

• 5 + 8i

• 5 - 8i

Simplify: 6i - 14 + i + 5 - 3i

• -9 + 4i

• -9 - 4i

• -19 + 4i

• -19 - 4i

Simplify: -i * (-2 + 10i)

• -10 + 2i

• 2 + 10i

• -2 + 10i

• 10 + 2i