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\sqrt{\frac{1.01\times 100000\times 1.4}{1.293}}
Tātaihia te 10 mā te pū o 5, kia riro ko 100000.
\sqrt{\frac{101000\times 1.4}{1.293}}
Whakareatia te 1.01 ki te 100000, ka 101000.
\sqrt{\frac{141400}{1.293}}
Whakareatia te 101000 ki te 1.4, ka 141400.
\sqrt{\frac{141400000}{1293}}
Whakarohaina te \frac{141400}{1.293} mā te whakarea i te taurunga me te tauraro ki te 1000.
\frac{\sqrt{141400000}}{\sqrt{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{200\sqrt{3535}}{\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}}{\left(\sqrt{1293}\right)^{2}}
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}}{1293}
Ko te pūrua o \sqrt{1293} ko 1293.
\frac{200\sqrt{4570755}}{1293}
Hei whakarea \sqrt{3535} me \sqrt{1293}, whakareatia ngā tau i raro i te pūtake rua.