Complex conjugates

Lessons

1. Find the conjugate of
   $\blacksquare \;$ $3+4i$
   $\blacksquare \;$ $4-\sqrt6i$
   $\blacksquare \;$ $-\sqrt{10}+4i$
   $\blacksquare \;$ $i-5$
   
2. Given that $z=5+6i$, determine $\overline{z}+\overline{z}$
   
3. Given that $w=i-14$, determine $\overline{w}+w$
   
4. If $z=15+2i$, $w=28i-7$, determine $w+\overline{z}$