Question

Представьте в виде комплексного числа (номер 1)

Answer 1

$frac{-1+i}{-2+sqrt3i} = frac{(-1+i)(-2-sqrt3i)}{(-2+sqrt3i)(-2-sqrt3i)} = frac{2+sqrt3i-2i-sqrt3i^2}{4-3i^2} = frac{2+sqrt3i-2i+sqrt3}{4+3} =\\= frac{(2+sqrt3)+(sqrt3-2)i}{7} = frac{2+sqrt3}{7} +frac{sqrt3-2}{7} i$