Whakaoti i te 2/3+2i

$$\frac { 2 } { 3 + 2 i }$$

Aromātai

$$\frac{6}{13}-\frac{4}{13}i\approx 0.461538462-0.307692308i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 3-2i.

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

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{2\left(3-2i\right)}{3^{2}-2^{2}i^{2}}$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$\frac{2\left(3-2i\right)}{13}$$

Whakareatia 2 ki te 3-2i.

$$\frac{2\times 3+2\times \left(-2i\right)}{13}$$

Mahia ngā whakarea i roto o 2\times 3+2\times \left(-2i\right).

$$\frac{6-4i}{13}$$

Whakawehea te 6-4i ki te 13, kia riro ko \frac{6}{13}-\frac{4}{13}i.

$$\frac{6}{13}-\frac{4}{13}i$$

Wāhi Tūturu

$$\frac{6}{13} = 0.46153846153846156$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{2}{3+2i} ki te haumi hiato o te tauraro, 3-2i.

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

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$Re(\frac{2\left(3-2i\right)}{3^{2}-2^{2}i^{2}})$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$Re(\frac{2\left(3-2i\right)}{13})$$

Whakareatia 2 ki te 3-2i.

$$Re(\frac{2\times 3+2\times \left(-2i\right)}{13})$$

Mahia ngā whakarea i roto o 2\times 3+2\times \left(-2i\right).

$$Re(\frac{6-4i}{13})$$

Whakawehea te 6-4i ki te 13, kia riro ko \frac{6}{13}-\frac{4}{13}i.

$$Re(\frac{6}{13}-\frac{4}{13}i)$$

Ko te wāhi tūturu o \frac{6}{13}-\frac{4}{13}i ko \frac{6}{13}.

$$\frac{6}{13}$$