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\sqrt{81+675^{2}}
Tātaihia te 9 mā te pū o 2, kia riro ko 81.
\sqrt{81+455625}
Tātaihia te 675 mā te pū o 2, kia riro ko 455625.
\sqrt{455706}
Tāpirihia te 81 ki te 455625, ka 455706.
9\sqrt{5626}
Tauwehea te 455706=9^{2}\times 5626. Tuhia anō te pūtake rua o te hua \sqrt{9^{2}\times 5626} hei hua o ngā pūtake rua \sqrt{9^{2}}\sqrt{5626}. Tuhia te pūtakerua o te 9^{2}.