Whakaoti i te 2sqrt{2}*5sqrt{1/6}

$$2 \sqrt{ 2 } \times 5 \sqrt{ \frac{ 1 }{ 6 } }$$

Aromātai

$$\frac{10\sqrt{3}}{3}\approx 5.773502692$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$10\sqrt{2}\sqrt{\frac{1}{6}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{6}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{6}}.

$$10\sqrt{2}\times \frac{\sqrt{1}}{\sqrt{6}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$10\sqrt{2}\times \frac{1}{\sqrt{6}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$10\sqrt{2}\times \frac{\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$10\sqrt{2}\times \frac{\sqrt{6}}{6}$$

Tuhia te 10\times \frac{\sqrt{6}}{6} hei hautanga kotahi.

$$\frac{10\sqrt{6}}{6}\sqrt{2}$$

Whakawehea te 10\sqrt{6} ki te 6, kia riro ko \frac{5}{3}\sqrt{6}.

$$\frac{5}{3}\sqrt{6}\sqrt{2}$$

Tauwehea te 6=2\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2\times 3} hei hua o ngā pūtake rua \sqrt{2}\sqrt{3}.

$$\frac{5}{3}\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$\frac{5}{3}\times 2\sqrt{3}$$

Tuhia te \frac{5}{3}\times 2 hei hautanga kotahi.

$$\frac{5\times 2}{3}\sqrt{3}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{10}{3}\sqrt{3}$$