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