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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

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

Immultiplika -1 u 2i biex tikseb -2i.

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

Biex issib l-oppost ta' \sqrt{3}-2i\sqrt{2}, sib l-oppost ta' kull terminu.

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

Ikkombina \sqrt{3} u -\sqrt{3} biex tikseb 0.

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

Ikkombina i\sqrt{2} u 2i\sqrt{2} biex tikseb 3i\sqrt{2}.

$$3i\sqrt{2}$$

Parti Reali

$$0$$