Aromātai
\frac{5\sqrt{15}}{3}\approx 6.454972244
Tohaina
Kua tāruatia ki te papatopenga
\sqrt{\frac{125}{3}}
Whakahekea te hautanga \frac{1000}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.
\frac{\sqrt{125}}{\sqrt{3}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{125}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{125}}{\sqrt{3}}.
\frac{5\sqrt{5}}{\sqrt{3}}
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{3}}{\left(\sqrt{3}\right)^{2}}
Whakangāwaritia te tauraro o \frac{5\sqrt{5}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.
\frac{5\sqrt{5}\sqrt{3}}{3}
Ko te pūrua o \sqrt{3} ko 3.
\frac{5\sqrt{15}}{3}
Hei whakarea \sqrt{5} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.
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