Complex Numbers and Square Roots

A complex number can be expressed as a + bi. What does a represent?

• the real part of the complex number

• the imaginary part of the complex number

• depends on the sign of the number

• the square root of the complex number

The complex conjugate can be found by...

• Changing the sign of both a and b

• Changing the sign of a

• Changing the sign of b

• Switching the a and b values

The complex conjugate of 4 + 3i is

• 3 + 4i

• 3 - 4i

• 4 - 3i

• 4 + 3i

What is the standard form for a complex number?

• -8i

• a + bi

• bi + a

• -8i + 8

Solve for x: 

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

Simplify

(12 - 4i) + (-2 + 8i)

• 8 + 104i

• 10 + 4i

• 14 - 4i

• 10 - 12i

You can simplify powers of i by... (Choose all correct answers)

• dividing the exponent by 4 then use the remainder to determine the value

• multiplying the exponent by 3 and then subtracting 2

• using the clock diagram and counting off the power until you get to the power in the problem

• taking the square root

Simplify.

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Simplify

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Simplify
2i - 7i + 10

• -5i+10

• 5i

• 9i+10

• 5i+10