Whakaoti i te 8-i/8+4i

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

Aromātai

$$\frac{3}{4}-\frac{1}{2}i=0.75-0.5i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 8-4i.

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

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}.

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

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

$$\frac{\left(8-i\right)\left(8-4i\right)}{80}$$

Me whakarea ngā tau matatini 8-i me 8-4i pēnā i te whakarea huarua.

$$\frac{8\times 8+8\times \left(-4i\right)-i\times 8-\left(-4i^{2}\right)}{80}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{8\times 8+8\times \left(-4i\right)-i\times 8-\left(-4\left(-1\right)\right)}{80}$$

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

$$\frac{64-32i-8i-4}{80}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 64-32i-8i-4.

$$\frac{64-4+\left(-32-8\right)i}{80}$$

Mahia ngā tāpiri i roto o 64-4+\left(-32-8\right)i.

$$\frac{60-40i}{80}$$

Whakawehea te 60-40i ki te 80, kia riro ko \frac{3}{4}-\frac{1}{2}i.

$$\frac{3}{4}-\frac{1}{2}i$$

Wāhi Tūturu

$$\frac{3}{4} = 0.75$$

Ngā Upane Otinga

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

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

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}.

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

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

$$Re(\frac{\left(8-i\right)\left(8-4i\right)}{80})$$

Me whakarea ngā tau matatini 8-i me 8-4i pēnā i te whakarea huarua.

$$Re(\frac{8\times 8+8\times \left(-4i\right)-i\times 8-\left(-4i^{2}\right)}{80})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{8\times 8+8\times \left(-4i\right)-i\times 8-\left(-4\left(-1\right)\right)}{80})$$

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

$$Re(\frac{64-32i-8i-4}{80})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 64-32i-8i-4.

$$Re(\frac{64-4+\left(-32-8\right)i}{80})$$

Mahia ngā tāpiri i roto o 64-4+\left(-32-8\right)i.

$$Re(\frac{60-40i}{80})$$

Whakawehea te 60-40i ki te 80, kia riro ko \frac{3}{4}-\frac{1}{2}i.

$$Re(\frac{3}{4}-\frac{1}{2}i)$$

Ko te wāhi tūturu o \frac{3}{4}-\frac{1}{2}i ko \frac{3}{4}.

$$\frac{3}{4}$$