Expand and simplify the given expression: $\sqrt{13}\left(\sqrt{11}+2\right)$√13(√11+2)

Expand and simplify the given expression: $\sqrt{7}\left(-5+\sqrt{5}\right)$√7(−5+√5)

Expand and simplify given expression: $\sqrt{3}\left(3+\sqrt{5}\right)$√3(3+√5)

Expand and simplify the given expression: $7\sqrt{2}\left(\sqrt{7}+6\right)$7√2(√7+6)

Manipulate complex numbers and present them graphically

Apply the algebra of complex numbers in solving problems