Question

Simplify.(3.17 - 5i)?Write your answer in the form a + bi. Simplify all radicals.

Answer 1

`\begin{gathered} (3√(7)-5i)^2=(3√(7)-5i)\cdot(3√(7)-5i) \\ =3√(7)\cdot(3√(7)-5i)-5i\cdot(3√(7)-5i) \\ =3\cdot3\cdot7-15i√(7)-15i√(7)-25 \\ =63-25-30i√(7) \\ =38-30i√(7) \end{gathered}`