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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\frac{4\sqrt{3}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}
Whakangāwaritia te tauraro o \frac{4\sqrt{3}}{\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.
\frac{4\sqrt{3}\sqrt{15}}{15}
Ko te pūrua o \sqrt{15} ko 15.
\frac{4\sqrt{3}\sqrt{3}\sqrt{5}}{15}
Tauwehea te 15=3\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3\times 5} hei hua o ngā pūtake rua \sqrt{3}\sqrt{5}.
\frac{4\times 3\sqrt{5}}{15}
Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.
\frac{12\sqrt{5}}{15}
Whakareatia te 4 ki te 3, ka 12.
\frac{4}{5}\sqrt{5}
Whakawehea te 12\sqrt{5} ki te 15, kia riro ko \frac{4}{5}\sqrt{5}.