Whakaoti i te =sqrt{101*10^5*14/1293}

$$= \sqrt { \frac { 101 \times 10 ^ { 5 } \times 14 } { 1293 } }$$

Aromātai

$$\frac{200\sqrt{4570755}}{1293}\approx 330.693335252$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$\sqrt{\frac{101\times 100000\times 14}{1293}}$$

Whakareatia te 101 ki te 100000, ka 10100000.

$$\sqrt{\frac{10100000\times 14}{1293}}$$

Whakareatia te 10100000 ki te 14, ka 141400000.

$$\sqrt{\frac{141400000}{1293}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{141400000}{1293}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{141400000}}{\sqrt{1293}}.

$$\frac{\sqrt{141400000}}{\sqrt{1293}}$$

Tauwehea te 141400000=200^{2}\times 3535. Tuhia anō te pūtake rua o te hua \sqrt{200^{2}\times 3535} hei hua o ngā pūtake rua \sqrt{200^{2}}\sqrt{3535}. Tuhia te pūtakerua o te 200^{2}.

$$\frac{200\sqrt{3535}}{\sqrt{1293}}$$

Whakangāwaritia te tauraro o \frac{200\sqrt{3535}}{\sqrt{1293}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{1293}.

$$\frac{200\sqrt{3535}\sqrt{1293}}{\left(\sqrt{1293}\right)^{2}}$$

Ko te pūrua o \sqrt{1293} ko 1293.

$$\frac{200\sqrt{3535}\sqrt{1293}}{1293}$$

Hei whakarea \sqrt{3535} me \sqrt{1293}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{200\sqrt{4570755}}{1293}$$