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\sqrt{\frac{16\times 1625}{21\times 157}}
Me whakakore tahi te 2 i te taurunga me te tauraro.
\sqrt{\frac{26000}{21\times 157}}
Whakareatia te 16 ki te 1625, ka 26000.
\sqrt{\frac{26000}{3297}}
Whakareatia te 21 ki te 157, ka 3297.
\frac{\sqrt{26000}}{\sqrt{3297}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{26000}{3297}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{26000}}{\sqrt{3297}}.
\frac{20\sqrt{65}}{\sqrt{3297}}
Tauwehea te 26000=20^{2}\times 65. Tuhia anō te pūtake rua o te hua \sqrt{20^{2}\times 65} hei hua o ngā pūtake rua \sqrt{20^{2}}\sqrt{65}. Tuhia te pūtakerua o te 20^{2}.
\frac{20\sqrt{65}\sqrt{3297}}{\left(\sqrt{3297}\right)^{2}}
Whakangāwaritia te tauraro o \frac{20\sqrt{65}}{\sqrt{3297}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3297}.
\frac{20\sqrt{65}\sqrt{3297}}{3297}
Ko te pūrua o \sqrt{3297} ko 3297.
\frac{20\sqrt{214305}}{3297}
Hei whakarea \sqrt{65} me \sqrt{3297}, whakareatia ngā tau i raro i te pūtake rua.