Express (-√3+√-2)(2√3-i) in the form a + ib.

Question

Express (-√3+√-2)(2√3-i) in the form a + ib. (A) (1-2√2)i (B) (1+2√2)i (C) (-6-√2)+√3(1+2√2)i (D) (-6+√2)+√3(1+2√2)i

Tardigrade Admin · Accepted Answer

(-√3+√-2)(2√3-i) =(-√3+√2i)(2√3-i) =-6+√3i+2√6i-√2i2 =(-6+√2)+√3(1+2√2)i

Q. Express $(- 3 + - 2) (23 - i)$ in the form $a + ib$ .