Whakaoti i te sqrt{14}*sqrt{1/2}=

$$\sqrt{ 14 } \times \sqrt{ \frac{ 1 }{ 2 } } =$$

Aromātai

$$\sqrt{7}\approx 2.645751311$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{2}}.

$$\sqrt{14}\times \frac{\sqrt{1}}{\sqrt{2}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\sqrt{14}\times \frac{1}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\sqrt{14}\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\sqrt{14}\times \frac{\sqrt{2}}{2}$$

Tuhia te \sqrt{14}\times \frac{\sqrt{2}}{2} hei hautanga kotahi.

$$\frac{\sqrt{14}\sqrt{2}}{2}$$

Tauwehea te 14=2\times 7. Tuhia anō te pūtake rua o te hua \sqrt{2\times 7} hei hua o ngā pūtake rua \sqrt{2}\sqrt{7}.

$$\frac{\sqrt{2}\sqrt{7}\sqrt{2}}{2}$$

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

$$\frac{2\sqrt{7}}{2}$$

Me whakakore te 2 me te 2.

$$\sqrt{7}$$