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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{\sqrt{75}}{\sqrt{7}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{75}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{75}}{\sqrt{7}}.
\frac{5\sqrt{3}}{\sqrt{7}}
Tauwehea te 75=5^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 3} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{3}. Tuhia te pūtakerua o te 5^{2}.
\frac{5\sqrt{3}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Whakangāwaritia te tauraro o \frac{5\sqrt{3}}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.
\frac{5\sqrt{3}\sqrt{7}}{7}
Ko te pūrua o \sqrt{7} ko 7.
\frac{5\sqrt{21}}{7}
Hei whakarea \sqrt{3} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.