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\sqrt{27\times 5^{3}}
Tātaihia te 3 mā te pū o 3, kia riro ko 27.
\sqrt{27\times 125}
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\sqrt{3375}
Whakareatia te 27 ki te 125, ka 3375.
15\sqrt{15}
Tauwehea te 3375=15^{2}\times 15. Tuhia anō te pūtake rua o te hua \sqrt{15^{2}\times 15} hei hua o ngā pūtake rua \sqrt{15^{2}}\sqrt{15}. Tuhia te pūtakerua o te 15^{2}.