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\sqrt{266256+3\times 411^{2}}
Tātaihia te 516 mā te pū o 2, kia riro ko 266256.
\sqrt{266256+3\times 168921}
Tātaihia te 411 mā te pū o 2, kia riro ko 168921.
\sqrt{266256+506763}
Whakareatia te 3 ki te 168921, ka 506763.
\sqrt{773019}
Tāpirihia te 266256 ki te 506763, ka 773019.
3\sqrt{85891}
Tauwehea te 773019=3^{2}\times 85891. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 85891} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{85891}. Tuhia te pūtakerua o te 3^{2}.