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\sqrt{59830225+1225^{2}}
Tātaihia te 7735 mā te pū o 2, kia riro ko 59830225.
\sqrt{59830225+1500625}
Tātaihia te 1225 mā te pū o 2, kia riro ko 1500625.
\sqrt{61330850}
Tāpirihia te 59830225 ki te 1500625, ka 61330850.
35\sqrt{50066}
Tauwehea te 61330850=35^{2}\times 50066. Tuhia anō te pūtake rua o te hua \sqrt{35^{2}\times 50066} hei hua o ngā pūtake rua \sqrt{35^{2}}\sqrt{50066}. Tuhia te pūtakerua o te 35^{2}.