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\frac{\sqrt{100}}{\sqrt{63}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{100}{63}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{100}}{\sqrt{63}}.
\frac{10}{\sqrt{63}}
Tātaitia te pūtakerua o 100 kia tae ki 10.
\frac{10}{3\sqrt{7}}
Tauwehea te 63=3^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 7} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{7}. Tuhia te pūtakerua o te 3^{2}.
\frac{10\sqrt{7}}{3\left(\sqrt{7}\right)^{2}}
Whakangāwaritia te tauraro o \frac{10}{3\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.
\frac{10\sqrt{7}}{3\times 7}
Ko te pūrua o \sqrt{7} ko 7.
\frac{10\sqrt{7}}{21}
Whakareatia te 3 ki te 7, ka 21.