Whakaoti i te 8+4i/9-3i

$$\frac { 8 + 4 i } { 9 - 3 i }$$

Aromātai

$$\frac{2}{3}+\frac{2}{3}i\approx 0.666666667+0.666666667i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 9+3i.

$$\frac{\left(8+4i\right)\left(9+3i\right)}{\left(9-3i\right)\left(9+3i\right)}$$

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}.

$$\frac{\left(8+4i\right)\left(9+3i\right)}{9^{2}-3^{2}i^{2}}$$

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

$$\frac{\left(8+4i\right)\left(9+3i\right)}{90}$$

Me whakarea ngā tau matatini 8+4i me 9+3i pēnā i te whakarea huarua.

$$\frac{8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3i^{2}}{90}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3\left(-1\right)}{90}$$

Mahia ngā whakarea i roto o 8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3\left(-1\right).

$$\frac{72+24i+36i-12}{90}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 72+24i+36i-12.

$$\frac{72-12+\left(24+36\right)i}{90}$$

Mahia ngā tāpiri i roto o 72-12+\left(24+36\right)i.

$$\frac{60+60i}{90}$$

Whakawehea te 60+60i ki te 90, kia riro ko \frac{2}{3}+\frac{2}{3}i.

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

Wāhi Tūturu

$$\frac{2}{3} = 0.6666666666666666$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{8+4i}{9-3i} ki te haumi hiato o te tauraro, 9+3i.

$$Re(\frac{\left(8+4i\right)\left(9+3i\right)}{\left(9-3i\right)\left(9+3i\right)})$$

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}.

$$Re(\frac{\left(8+4i\right)\left(9+3i\right)}{9^{2}-3^{2}i^{2}})$$

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

$$Re(\frac{\left(8+4i\right)\left(9+3i\right)}{90})$$

Me whakarea ngā tau matatini 8+4i me 9+3i pēnā i te whakarea huarua.

$$Re(\frac{8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3i^{2}}{90})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3\left(-1\right)}{90})$$

Mahia ngā whakarea i roto o 8\times 9+8\times \left(3i\right)+4i\times 9+4\times 3\left(-1\right).

$$Re(\frac{72+24i+36i-12}{90})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 72+24i+36i-12.

$$Re(\frac{72-12+\left(24+36\right)i}{90})$$

Mahia ngā tāpiri i roto o 72-12+\left(24+36\right)i.

$$Re(\frac{60+60i}{90})$$

Whakawehea te 60+60i ki te 90, kia riro ko \frac{2}{3}+\frac{2}{3}i.

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

Ko te wāhi tūturu o \frac{2}{3}+\frac{2}{3}i ko \frac{2}{3}.

$$\frac{2}{3}$$