Understanding and applying conjugates of complex numbers

What is the complex conjugate of (1+8i)/(2-4i) ?

• 1 - 8i

• 1 + 8i

• 2 - 4i

• 2 + 4i

• 1 - 2i

Find the conjugate of the complex number: 4 - 7i

• 4 - 7i

• 4 + 7i

• 4 + 7

• 7 - 4i

6. What is the sum of $5-3i$  and the conjugate of  $3+2i$ ?

•  $2+5i$  

•  $2-5i$  

•  $8+5i$  

•  $8-5i$  

What is the conjugate of the expression:

• 3 + 8√6
• 3 - 8√6
• 3 + 2√3
• -3 + 8√6

Imagine you are watching a cartoon where a magical character has a power of (7 + 3i). If the villain uses a spell to conjugate this power, what will be the new power of the character?

• 7 - 3i

• -7 + 3i

• 7 + 3i

• -7 - 3i

Find the conjugate of the complex number 9 - 3i.

• 9 - 3i

• 3 - 9i

• 9 + 3i

• 9 + 3

 $z\ ,\ z_{1_{ }\ }and\ z_2\$  are complex number , then  $\overline{z_1.z_2}\ =\ \overline{z_1}\ .\ \overline{z_2}$  

• False

• True

What is the conjugate of
7-2i? 

• 7+2i
• 7-2i
• 2-7i
• 2+7i

• 7 - 2i

• -7 - 2i

• -7 + 2i

• 7 + 2i