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\sqrt{32\times 3^{2}\times 7^{3}}
Tātaihia te 2 mā te pū o 5, kia riro ko 32.
\sqrt{32\times 9\times 7^{3}}
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
\sqrt{288\times 7^{3}}
Whakareatia te 32 ki te 9, ka 288.
\sqrt{288\times 343}
Tātaihia te 7 mā te pū o 3, kia riro ko 343.
\sqrt{98784}
Whakareatia te 288 ki te 343, ka 98784.
84\sqrt{14}
Tauwehea te 98784=84^{2}\times 14. Tuhia anō te pūtake rua o te hua \sqrt{84^{2}\times 14} hei hua o ngā pūtake rua \sqrt{84^{2}}\sqrt{14}. Tuhia te pūtakerua o te 84^{2}.