Whakaoti i te sqrt{1/10}divsqrt{1/5}

$$\sqrt { \frac { 1 } { 10 } } \div \sqrt { \frac { 1 } { 5 } }$$

Aromātai

$$\frac{\sqrt{2}}{2}\approx 0.707106781$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{10}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{10}}.

$$\frac{\frac{\sqrt{1}}{\sqrt{10}}}{\sqrt{\frac{1}{5}}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{\frac{1}{\sqrt{10}}}{\sqrt{\frac{1}{5}}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.

$$\frac{\frac{\sqrt{10}}{\left(\sqrt{10}\right)^{2}}}{\sqrt{\frac{1}{5}}}$$

Ko te pūrua o \sqrt{10} ko 10.

$$\frac{\frac{\sqrt{10}}{10}}{\sqrt{\frac{1}{5}}}$$

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

$$\frac{\frac{\sqrt{10}}{10}}{\frac{\sqrt{1}}{\sqrt{5}}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{\frac{\sqrt{10}}{10}}{\frac{1}{\sqrt{5}}}$$

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

$$\frac{\frac{\sqrt{10}}{10}}{\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\frac{\sqrt{10}}{10}}{\frac{\sqrt{5}}{5}}$$

Whakawehe \frac{\sqrt{10}}{10} ki te \frac{\sqrt{5}}{5} mā te whakarea \frac{\sqrt{10}}{10} ki te tau huripoki o \frac{\sqrt{5}}{5}.

$$\frac{\sqrt{10}\times 5}{10\sqrt{5}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{\sqrt{10}}{2\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{10}}{2\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\sqrt{10}\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{10}\sqrt{5}}{2\times 5}$$

Tauwehea te 10=5\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5\times 2} hei hua o ngā pūtake rua \sqrt{5}\sqrt{2}.

$$\frac{\sqrt{5}\sqrt{2}\sqrt{5}}{2\times 5}$$

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

$$\frac{5\sqrt{2}}{2\times 5}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{5\sqrt{2}}{10}$$

Whakawehea te 5\sqrt{2} ki te 10, kia riro ko \frac{1}{2}\sqrt{2}.

$$\frac{1}{2}\sqrt{2}$$