Whakaoti i te 50*10sqrt{3/2}

$$50 \times 10 \sqrt{ \frac{ 3 }{ 2 } }$$

Aromātai

$$250\sqrt{6}\approx 612.372435696$$

Ngā Upane Otinga

Whakareatia te 10 ki te 50, ka 500.

$$500\sqrt{\frac{3}{2}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{3}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{3}}{\sqrt{2}}.

$$500\times \frac{\sqrt{3}}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3}}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$500\times \frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$500\times \frac{\sqrt{3}\sqrt{2}}{2}$$

Hei whakarea \sqrt{3} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$500\times \frac{\sqrt{6}}{2}$$

Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 500 me te 2.

$$250\sqrt{6}$$