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\frac{1}{\sqrt{250}}
Tātaitia te pūtakerua o 1 kia tae ki 1.
\frac{1}{5\sqrt{10}}
Tauwehea te 250=5^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 10} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{10}. Tuhia te pūtakerua o te 5^{2}.
\frac{\sqrt{10}}{5\left(\sqrt{10}\right)^{2}}
Whakangāwaritia te tauraro o \frac{1}{5\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.
\frac{\sqrt{10}}{5\times 10}
Ko te pūrua o \sqrt{10} ko 10.
\frac{\sqrt{10}}{50}
Whakareatia te 5 ki te 10, ka 50.