Whakaoti i te 5-8i/3+6i

$$\frac { 5 - 8 i } { 3 + 6 i }$$

Aromātai

$$-\frac{11}{15}-\frac{6}{5}i\approx -0.733333333-1.2i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 3-6i.

$$\frac{\left(5-8i\right)\left(3-6i\right)}{\left(3+6i\right)\left(3-6i\right)}$$

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}.

$$\frac{\left(5-8i\right)\left(3-6i\right)}{3^{2}-6^{2}i^{2}}$$

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

$$\frac{\left(5-8i\right)\left(3-6i\right)}{45}$$

Me whakarea ngā tau matatini 5-8i me 3-6i pēnā i te whakarea huarua.

$$\frac{5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)i^{2}}{45}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)\left(-1\right)}{45}$$

Mahia ngā whakarea i roto o 5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)\left(-1\right).

$$\frac{15-30i-24i-48}{45}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 15-30i-24i-48.

$$\frac{15-48+\left(-30-24\right)i}{45}$$

Mahia ngā tāpiri i roto o 15-48+\left(-30-24\right)i.

$$\frac{-33-54i}{45}$$

Whakawehea te -33-54i ki te 45, kia riro ko -\frac{11}{15}-\frac{6}{5}i.

$$-\frac{11}{15}-\frac{6}{5}i$$

Wāhi Tūturu

$$-\frac{11}{15} = -0.7333333333333333$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{5-8i}{3+6i} ki te haumi hiato o te tauraro, 3-6i.

$$Re(\frac{\left(5-8i\right)\left(3-6i\right)}{\left(3+6i\right)\left(3-6i\right)})$$

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}.

$$Re(\frac{\left(5-8i\right)\left(3-6i\right)}{3^{2}-6^{2}i^{2}})$$

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

$$Re(\frac{\left(5-8i\right)\left(3-6i\right)}{45})$$

Me whakarea ngā tau matatini 5-8i me 3-6i pēnā i te whakarea huarua.

$$Re(\frac{5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)i^{2}}{45})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)\left(-1\right)}{45})$$

Mahia ngā whakarea i roto o 5\times 3+5\times \left(-6i\right)-8i\times 3-8\left(-6\right)\left(-1\right).

$$Re(\frac{15-30i-24i-48}{45})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 15-30i-24i-48.

$$Re(\frac{15-48+\left(-30-24\right)i}{45})$$

Mahia ngā tāpiri i roto o 15-48+\left(-30-24\right)i.

$$Re(\frac{-33-54i}{45})$$

Whakawehea te -33-54i ki te 45, kia riro ko -\frac{11}{15}-\frac{6}{5}i.

$$Re(-\frac{11}{15}-\frac{6}{5}i)$$

Ko te wāhi tūturu o -\frac{11}{15}-\frac{6}{5}i ko -\frac{11}{15}.

$$-\frac{11}{15}$$