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\sqrt{17\left(17-12\right)^{2}\left(17-12\right)\left(17-10\right)}
Whakareatia te 17-12 ki te 17-12, ka \left(17-12\right)^{2}.
\sqrt{17\left(17-12\right)^{3}\left(17-10\right)}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.
\sqrt{17\times 5^{3}\left(17-10\right)}
Tangohia te 12 i te 17, ka 5.
\sqrt{17\times 125\left(17-10\right)}
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\sqrt{2125\left(17-10\right)}
Whakareatia te 17 ki te 125, ka 2125.
\sqrt{2125\times 7}
Tangohia te 10 i te 17, ka 7.
\sqrt{14875}
Whakareatia te 2125 ki te 7, ka 14875.
5\sqrt{595}
Tauwehea te 14875=5^{2}\times 595. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 595} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{595}. Tuhia te pūtakerua o te 5^{2}.