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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{8\sqrt{2}}{\sqrt{80}}
Tauwehea te 128=8^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{8^{2}\times 2} hei hua o ngā pūtake rua \sqrt{8^{2}}\sqrt{2}. Tuhia te pūtakerua o te 8^{2}.
\frac{8\sqrt{2}}{4\sqrt{5}}
Tauwehea te 80=4^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 5} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{5}. Tuhia te pūtakerua o te 4^{2}.
\frac{2\sqrt{2}}{\sqrt{5}}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{2\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Whakangāwaritia te tauraro o \frac{2\sqrt{2}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.
\frac{2\sqrt{2}\sqrt{5}}{5}
Ko te pūrua o \sqrt{5} ko 5.
\frac{2\sqrt{10}}{5}
Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.