Whakaoti i te frac{isqrt{5}}{isqrt{1/5}}

$$\frac { i \sqrt { 5 } } { i \sqrt { \frac { 1 } { 5 } } }$$

Aromātai

$$5$$

Ngā Upane Otinga

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

$$\frac{\sqrt{5}}{\sqrt{\frac{1}{5}}i^{0}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{5}}.

$$\frac{\sqrt{5}}{\frac{\sqrt{1}}{\sqrt{5}}i^{0}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{\sqrt{5}}{\frac{1}{\sqrt{5}}i^{0}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\sqrt{5}}{\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}i^{0}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}i^{0}}$$

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

$$\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}\times 1}$$

Tuhia te \frac{\sqrt{5}}{5}\times 1 hei hautanga kotahi.

$$\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}}$$

Whakawehe \sqrt{5} ki te \frac{\sqrt{5}}{5} mā te whakarea \sqrt{5} ki te tau huripoki o \frac{\sqrt{5}}{5}.

$$\frac{\sqrt{5}\times 5}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}\times 5}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\sqrt{5}\times 5\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{5}\times 5\sqrt{5}}{5}$$

Whakareatia te \sqrt{5} ki te \sqrt{5}, ka 5.

$$\frac{5\times 5}{5}$$

Whakareatia te 5 ki te 5, ka 25.

$$\frac{25}{5}$$

Whakawehea te 25 ki te 5, kia riro ko 5.

$$5$$

Wāhi Tūturu

$$5$$

Ngā Upane Otinga

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

$$Re(\frac{\sqrt{5}}{\sqrt{\frac{1}{5}}i^{0}})$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{5}}.

$$Re(\frac{\sqrt{5}}{\frac{\sqrt{1}}{\sqrt{5}}i^{0}})$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$Re(\frac{\sqrt{5}}{\frac{1}{\sqrt{5}}i^{0}})$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$Re(\frac{\sqrt{5}}{\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}i^{0}})$$

Ko te pūrua o \sqrt{5} ko 5.

$$Re(\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}i^{0}})$$

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

$$Re(\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}\times 1})$$

Tuhia te \frac{\sqrt{5}}{5}\times 1 hei hautanga kotahi.

$$Re(\frac{\sqrt{5}}{\frac{\sqrt{5}}{5}})$$

Whakawehe \sqrt{5} ki te \frac{\sqrt{5}}{5} mā te whakarea \sqrt{5} ki te tau huripoki o \frac{\sqrt{5}}{5}.

$$Re(\frac{\sqrt{5}\times 5}{\sqrt{5}})$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}\times 5}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$Re(\frac{\sqrt{5}\times 5\sqrt{5}}{\left(\sqrt{5}\right)^{2}})$$

Ko te pūrua o \sqrt{5} ko 5.

$$Re(\frac{\sqrt{5}\times 5\sqrt{5}}{5})$$

Whakareatia te \sqrt{5} ki te \sqrt{5}, ka 5.

$$Re(\frac{5\times 5}{5})$$

Whakareatia te 5 ki te 5, ka 25.

$$Re(\frac{25}{5})$$

Whakawehea te 25 ki te 5, kia riro ko 5.

$$Re(5)$$

Ko te wāhi tūturu o 5 ko 5.

$$5$$