Complex Number Operations and Conjugates

In the binomial multiplication example (3 + 4i) (5 + 2i), the last terms would be _____ and______.

• 3 and 4i

• 5 and 2i

• 3 and 5

• 4i and 2i

The expression (2 + 3i)² is equal to

• -5

• -5 + 12i

• 4 + 21i

• 13 + 12i

Write the expression in the form of a+bi, where a and b are real numbers.

-3i ⋅ 2i

• -6

• 6

• -6i

• 6i

Expand into standard form

(x+2i)(x-2i)

• x²-4

• x²+4

• x+2i²

• x²+2i²

Simplify the following expression:

(-2+6i)(2-6i)

• 32+24i

• -32+24i

• -32+24i

• 40

(6-5i)(6+5i) = -61

• True

• False

• 15-8i

• 36

• 24+10i

• 24-10i

23 - sqrt(-4)

• 23 + 2i

• -23 + 2i

• 23 - 2i

• -23 - 2i

5 + sqrt(-25)

• -5 - 5i

• 5 + 5i

• -5 + 5i

• 5 - 5i