Datrys (6+sqrt{3}i)(2-sqrt{6}i)

$$( 6 + \sqrt { 3 } i ) ( 2 - \sqrt { 6 } i )$$

Enrhifo

$$-6\sqrt{6}i+3\sqrt{2}+12+2\sqrt{3}i\approx 16.242640687-11.232836842i$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 6+i\sqrt{3} â 2-i\sqrt{6}.

$$6\left(2-i\sqrt{6}\right)+i\sqrt{3}\left(2-i\sqrt{6}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 6 â 2-i\sqrt{6}.

$$12-6i\sqrt{6}+i\sqrt{3}\left(2-i\sqrt{6}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi i\sqrt{3} â 2-i\sqrt{6}.

$$12-6i\sqrt{6}+2i\sqrt{3}+\sqrt{3}\sqrt{6}$$

Ffactora 6=3\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 2} fel lluoswm ail israddau \sqrt{3}\sqrt{2}.

$$12-6i\sqrt{6}+2i\sqrt{3}+\sqrt{3}\sqrt{3}\sqrt{2}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$12-6i\sqrt{6}+2i\sqrt{3}+3\sqrt{2}$$

Rhan Real

$$3 {(\sqrt{2} + 4)} = 16.242640687$$