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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\sqrt{\frac{1000}{31784}}
Whakarohaina te \frac{1}{31.784} mā te whakarea i te taurunga me te tauraro ki te 1000.
\sqrt{\frac{125}{3973}}
Whakahekea te hautanga \frac{1000}{31784} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.
\frac{\sqrt{125}}{\sqrt{3973}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{125}{3973}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{125}}{\sqrt{3973}}.
\frac{5\sqrt{5}}{\sqrt{3973}}
Tauwehea te 125=5^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 5} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{5}. Tuhia te pūtakerua o te 5^{2}.
\frac{5\sqrt{5}\sqrt{3973}}{\left(\sqrt{3973}\right)^{2}}
Whakangāwaritia te tauraro o \frac{5\sqrt{5}}{\sqrt{3973}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3973}.
\frac{5\sqrt{5}\sqrt{3973}}{3973}
Ko te pūrua o \sqrt{3973} ko 3973.
\frac{5\sqrt{19865}}{3973}
Hei whakarea \sqrt{5} me \sqrt{3973}, whakareatia ngā tau i raro i te pūtake rua.