Whakaoti i te 5sqrt{2*8/5}

$$5 \sqrt{ 2 \times \frac{ 8 }{ 5 } }$$

Aromātai

$$4\sqrt{5}\approx 8.94427191$$

Ngā Upane Otinga

Tuhia te 2\times \frac{8}{5} hei hautanga kotahi.

$$5\sqrt{\frac{2\times 8}{5}}$$

Whakareatia te 2 ki te 8, ka 16.

$$5\sqrt{\frac{16}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{16}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{16}}{\sqrt{5}}.

$$5\times \frac{\sqrt{16}}{\sqrt{5}}$$

Tātaitia te pūtakerua o 16 kia tae ki 4.

$$5\times \frac{4}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{4}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$5\times \frac{4\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$5\times \frac{4\sqrt{5}}{5}$$

Me whakakore te 5 me te 5.

$$4\sqrt{5}$$