Whakaoti i te sqrt{279/448}

$$\sqrt { \frac { 279 } { 448 } }$$

Aromātai

$$\frac{3\sqrt{217}}{56}\approx 0.789156421$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{279}{448}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{279}}{\sqrt{448}}.

$$\frac{\sqrt{279}}{\sqrt{448}}$$

Tauwehea te 279=3^{2}\times 31. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 31} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{31}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{3\sqrt{31}}{\sqrt{448}}$$

Tauwehea te 448=8^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{8^{2}\times 7} hei hua o ngā pūtake rua \sqrt{8^{2}}\sqrt{7}. Tuhia te pūtakerua o te 8^{2}.

$$\frac{3\sqrt{31}}{8\sqrt{7}}$$

Whakangāwaritia te tauraro o \frac{3\sqrt{31}}{8\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{3\sqrt{31}\sqrt{7}}{8\left(\sqrt{7}\right)^{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{3\sqrt{31}\sqrt{7}}{8\times 7}$$

Hei whakarea \sqrt{31} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{3\sqrt{217}}{8\times 7}$$

Whakareatia te 8 ki te 7, ka 56.

$$\frac{3\sqrt{217}}{56}$$