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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\sqrt{\frac{3\times 922503}{157}}
Me whakakore tahi te 2\times 8\times 10 i te taurunga me te tauraro.
\sqrt{\frac{2767509}{157}}
Whakareatia te 3 ki te 922503, ka 2767509.
\frac{\sqrt{2767509}}{\sqrt{157}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2767509}{157}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2767509}}{\sqrt{157}}.
\frac{213\sqrt{61}}{\sqrt{157}}
Tauwehea te 2767509=213^{2}\times 61. Tuhia anō te pūtake rua o te hua \sqrt{213^{2}\times 61} hei hua o ngā pūtake rua \sqrt{213^{2}}\sqrt{61}. Tuhia te pūtakerua o te 213^{2}.
\frac{213\sqrt{61}\sqrt{157}}{\left(\sqrt{157}\right)^{2}}
Whakangāwaritia te tauraro o \frac{213\sqrt{61}}{\sqrt{157}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{157}.
\frac{213\sqrt{61}\sqrt{157}}{157}
Ko te pūrua o \sqrt{157} ko 157.
\frac{213\sqrt{9577}}{157}
Hei whakarea \sqrt{61} me \sqrt{157}, whakareatia ngā tau i raro i te pūtake rua.