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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\sqrt{\frac{72}{45}}
Whakareatia te 2 ki te 36, ka 72.
\sqrt{\frac{8}{5}}
Whakahekea te hautanga \frac{72}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.
\frac{\sqrt{8}}{\sqrt{5}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{8}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{8}}{\sqrt{5}}.
\frac{2\sqrt{2}}{\sqrt{5}}
Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.
\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.