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\sqrt{\frac{50000}{974}}
Whakareatia te 2 ki te 25000, ka 50000.
\sqrt{\frac{25000}{487}}
Whakahekea te hautanga \frac{50000}{974} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{\sqrt{25000}}{\sqrt{487}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{25000}{487}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25000}}{\sqrt{487}}.
\frac{50\sqrt{10}}{\sqrt{487}}
Tauwehea te 25000=50^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{50^{2}\times 10} hei hua o ngā pūtake rua \sqrt{50^{2}}\sqrt{10}. Tuhia te pūtakerua o te 50^{2}.
\frac{50\sqrt{10}\sqrt{487}}{\left(\sqrt{487}\right)^{2}}
Whakangāwaritia te tauraro o \frac{50\sqrt{10}}{\sqrt{487}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{487}.
\frac{50\sqrt{10}\sqrt{487}}{487}
Ko te pūrua o \sqrt{487} ko 487.
\frac{50\sqrt{4870}}{487}
Hei whakarea \sqrt{10} me \sqrt{487}, whakareatia ngā tau i raro i te pūtake rua.