Whakaoti i te sqrt{10}*2sqrt{5}div1/sqrt{10}

$$\sqrt { 10 } \times 2 \sqrt { 5 } \div \frac { 1 } { \sqrt { 10 } }$$

Aromātai

$$20\sqrt{5}\approx 44.72135955$$

Ngā Upane Otinga

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}.

$$\frac{2\sqrt{5}\sqrt{2}\sqrt{5}}{\frac{1}{\sqrt{10}}}$$

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

$$\frac{2\times 5\sqrt{2}}{\frac{1}{\sqrt{10}}}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10\sqrt{2}}{\frac{1}{\sqrt{10}}}$$

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

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

Ko te pūrua o \sqrt{10} ko 10.

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

Whakawehe 10\sqrt{2} ki te \frac{\sqrt{10}}{10} mā te whakarea 10\sqrt{2} ki te tau huripoki o \frac{\sqrt{10}}{10}.

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

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

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

Ko te pūrua o \sqrt{10} ko 10.

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

Whakareatia te 10 ki te 10, ka 100.

$$\frac{100\sqrt{2}\sqrt{10}}{10}$$

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

$$\frac{100\sqrt{2}\sqrt{2}\sqrt{5}}{10}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$\frac{100\times 2\sqrt{5}}{10}$$

Whakareatia te 100 ki te 2, ka 200.

$$\frac{200\sqrt{5}}{10}$$

Whakawehea te 200\sqrt{5} ki te 10, kia riro ko 20\sqrt{5}.

$$20\sqrt{5}$$