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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\frac{1}{3\sqrt{13}}
Tauwehea te 117=3^{2}\times 13. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 13} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{13}. Tuhia te pūtakerua o te 3^{2}.
\frac{\sqrt{13}}{3\left(\sqrt{13}\right)^{2}}
Whakangāwaritia te tauraro o \frac{1}{3\sqrt{13}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{13}.
\frac{\sqrt{13}}{3\times 13}
Ko te pūrua o \sqrt{13} ko 13.
\frac{\sqrt{13}}{39}
Whakareatia te 3 ki te 13, ka 39.