Whakaoti i te 51/56*sqrt{5/98}

$$\frac { 51 } { 56 } \times \sqrt { \frac { 5 } { 98 } }$$

Aromātai

$$\frac{51\sqrt{10}}{784}\approx 0.205709389$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{98}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{98}}.

$$\frac{51}{56}\times \frac{\sqrt{5}}{\sqrt{98}}$$

Tauwehea te 98=7^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{7^{2}\times 2} hei hua o ngā pūtake rua \sqrt{7^{2}}\sqrt{2}. Tuhia te pūtakerua o te 7^{2}.

$$\frac{51}{56}\times \frac{\sqrt{5}}{7\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{7\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{51}{56}\times \frac{\sqrt{5}\sqrt{2}}{7\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{51}{56}\times \frac{\sqrt{5}\sqrt{2}}{7\times 2}$$

Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{51}{56}\times \frac{\sqrt{10}}{7\times 2}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{51}{56}\times \frac{\sqrt{10}}{14}$$

Me whakarea te \frac{51}{56} ki te \frac{\sqrt{10}}{14} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{51\sqrt{10}}{56\times 14}$$

Whakareatia te 56 ki te 14, ka 784.

$$\frac{51\sqrt{10}}{784}$$