3.2 Mixed Practice

Front

What is the square root of a negative number?

Back

Front

Back

Front

How do you multiply two complex numbers, such as (2 + 6i) and (4 + 9i)?

Back

Multiply using the distributive property: (2 + 6i)(4 + 9i) = 8 + 18i + 24i + 54i^2 = -46 + 42i.

Front

What is the sum of two complex numbers, (9 - i) and (-7 + 8i)?

Back

The sum is 2 + 7i, calculated as (9 - 7) + (-1 + 8)i.

Front

How do you subtract complex numbers, such as (-9 + 8i) - (3 + 2i)?

Back

Subtract by combining real and imaginary parts: (-9 - 3) + (8 - 2)i = -12 + 6i.

Front

What is an imaginary number?

Back

Front

What is the formula for multiplying two complex numbers?

Back

The formula is (a + bi)(c + di) = (ac - bd) + (ad + bc)i.

Front

Back

Front

Back

Front

What is the conjugate of a complex number?

Back

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