9000037507
Część:
A
Dane są liczby zespolone
\[
a = \sqrt{3} + 2\mathrm{i}\text{, }\quad b = \sqrt{2} -\mathrm{i}\text{, }
\]
oblicz iloraz \(\frac{a}
{b}\).
\(\frac{\sqrt{6}-2}
{3} + \mathrm{i}\frac{2\sqrt{2}+\sqrt{3}}
{3} \)
\(\frac{\sqrt{6}-2}
{3} -\mathrm{i}\frac{2\sqrt{2}+\sqrt{3}}
{3} \)
\(\frac{\sqrt{6}-3}
{2} + \mathrm{i}\frac{2\sqrt{2}+\sqrt{3}}
{2} \)
\(\frac{\sqrt{6}-2}
{2} -\mathrm{i}\frac{2\sqrt{2}+\sqrt{3}}
{2} \)