Whakaoti i te frac{sqrt{-18}}{sqrt{-27}}

$$\frac { \sqrt { - 18 } } { \sqrt { - 27 } }$$

Aromātai (complex solution)

$$\frac{\sqrt{6}}{3}\approx 0.816496581$$

Ngā Upane Otinga

Tauwehea te -18=\left(3i\right)^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{\left(3i\right)^{2}\times 2} hei hua o ngā pūtake rua \sqrt{\left(3i\right)^{2}}\sqrt{2}. Tuhia te pūtakerua o te \left(3i\right)^{2}.

$$\frac{3i\sqrt{2}}{\sqrt{-27}}$$

Tauwehea te -27=\left(3i\right)^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{\left(3i\right)^{2}\times 3} hei hua o ngā pūtake rua \sqrt{\left(3i\right)^{2}}\sqrt{3}. Tuhia te pūtakerua o te \left(3i\right)^{2}.

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

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times \left(3i\right)^{0}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{2}\sqrt{3}}{3\times \left(3i\right)^{0}}$$

Hei whakarea \sqrt{2} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{6}}{3\times \left(3i\right)^{0}}$$

Tātaihia te 3i mā te pū o 0, kia riro ko 1.

$$\frac{\sqrt{6}}{3\times 1}$$

Whakareatia te 3 ki te 1, ka 3.

$$\frac{\sqrt{6}}{3}$$

Wāhi Tūturu (complex solution)

$$\frac{\sqrt{6}}{3} = 0.8164965809277259$$

Aromātai

$$\text{Indeterminate}$$