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\sqrt{6\times 9+36\times 37^{2}}
Tātaihia te 3 mā te pū o 2, kia riro ko 9.
\sqrt{54+36\times 37^{2}}
Whakareatia te 6 ki te 9, ka 54.
\sqrt{54+36\times 1369}
Tātaihia te 37 mā te pū o 2, kia riro ko 1369.
\sqrt{54+49284}
Whakareatia te 36 ki te 1369, ka 49284.
\sqrt{49338}
Tāpirihia te 54 ki te 49284, ka 49338.
3\sqrt{5482}
Tauwehea te 49338=3^{2}\times 5482. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5482} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5482}. Tuhia te pūtakerua o te 3^{2}.