Determine a conjugate for $2+\sqrt{7}$2+√7.

Determine a conjugate for $8-\sqrt{u}$8−√u.

Determine a conjugate for $\sqrt{7}+\sqrt{2}$√7+√2.

Determine a conjugate for $\sqrt{m}-\sqrt{3}$√m−√3.

Manipulate complex numbers and present them graphically

Apply the algebra of complex numbers in solving problems