Whakaoti i te 2021*3/2sqrt{1-052/50-2}

$$2021 \times \frac{ 3 }{ 2 } \sqrt{ \frac{ 1-052 }{ 50-2 } }$$

Aromātai

$$\frac{2021\sqrt{3}}{8}\approx 437.559335262$$

Ngā Upane Otinga

Tuhia te 2021\times \frac{3}{2} hei hautanga kotahi.

$$\frac{2021\times 3}{2}\sqrt{\frac{1-0\times 52}{50-2}}$$

Whakareatia te 2021 ki te 3, ka 6063.

$$\frac{6063}{2}\sqrt{\frac{1-0\times 52}{50-2}}$$

Whakareatia te 0 ki te 52, ka 0.

$$\frac{6063}{2}\sqrt{\frac{1-0}{50-2}}$$

Tangohia te 0 i te 1, ka 1.

$$\frac{6063}{2}\sqrt{\frac{1}{50-2}}$$

Tangohia te 2 i te 50, ka 48.

$$\frac{6063}{2}\sqrt{\frac{1}{48}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{48}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{48}}.

$$\frac{6063}{2}\times \frac{\sqrt{1}}{\sqrt{48}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{6063}{2}\times \frac{1}{\sqrt{48}}$$

Tauwehea te 48=4^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 3} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{3}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{6063}{2}\times \frac{1}{4\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{1}{4\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{4\times 3}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{6063}{2}\times \frac{\sqrt{3}}{12}$$

Me whakarea te \frac{6063}{2} ki te \frac{\sqrt{3}}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{6063\sqrt{3}}{2\times 12}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{2021\sqrt{3}}{2\times 4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{2021\sqrt{3}}{8}$$