Datrys (sqrt{3}+isqrt{2})-(sqrt{3}-isqrt{8})

$$( \sqrt { 3 } + i \sqrt { 2 } ) - ( \sqrt { 3 } - i \sqrt { 8 } )$$

Enrhifo

$$3\sqrt{2}i\approx 4.242640687i$$

Camau Ateb

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

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

Lluosi -1 a 2i i gael -2i.

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

I ddod o hyd i wrthwyneb \sqrt{3}-2i\sqrt{2}, dewch o hyd i wrthwyneb pob term.

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

Cyfuno \sqrt{3} a -\sqrt{3} i gael 0.

$$i\sqrt{2}+2i\sqrt{2}$$

Cyfuno i\sqrt{2} a 2i\sqrt{2} i gael 3i\sqrt{2}.

$$3i\sqrt{2}$$

Rhan Real

$$0$$