Complex Number Conjugates Application

What is the numerator after multiplying and before simplifying?

• 2-6i

• 2+6i

• -2+6i

• -2-6i

What is the denominator after multiplying and before simplifying?

• 17

• 13

• 5i

• 15i

Rationalize and Simplify.

• 
• 
• 
• 

• A
• B
• C
• D

What is the complex conjugate of  4-3i?

•   1/(4-3i)

• 1/(4+3i)

•   -4 + 3i

•   4 + 3i

What is the conjugate of i + 4?

• i + 4

• i - 4

• -i-4

• -i+4

• A
• B
• C
• D

(7-5i)(7+5i)

• 74

• 75

• 74-1

Simplify

• (-8i+1)/10

• (8+i)/11

• (34-77i)/109

• (21-38i)/58

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i

• -3-5i

• -5i

• 3-5i