Whakaoti i te 2sqrt{2(32)/28}

$$2 \sqrt{ \frac{ 2(32) }{ 28 } }$$

Aromātai

$$\frac{8\sqrt{7}}{7}\approx 3.023715784$$

Ngā Upane Otinga

Whakareatia te 2 ki te 32, ka 64.

$$2\sqrt{\frac{64}{28}}$$

Whakahekea te hautanga \frac{64}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$2\sqrt{\frac{16}{7}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{16}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{16}}{\sqrt{7}}.

$$2\times \frac{\sqrt{16}}{\sqrt{7}}$$

Tātaitia te pūtakerua o 16 kia tae ki 4.

$$2\times \frac{4}{\sqrt{7}}$$

Whakangāwaritia te tauraro o \frac{4}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$2\times \frac{4\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$2\times \frac{4\sqrt{7}}{7}$$

Tuhia te 2\times \frac{4\sqrt{7}}{7} hei hautanga kotahi.

$$\frac{2\times 4\sqrt{7}}{7}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{8\sqrt{7}}{7}$$