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\sqrt{275625-475^{2}}
Tātaihia te 525 mā te pū o 2, kia riro ko 275625.
\sqrt{275625-225625}
Tātaihia te 475 mā te pū o 2, kia riro ko 225625.
\sqrt{50000}
Tangohia te 225625 i te 275625, ka 50000.
100\sqrt{5}
Tauwehea te 50000=100^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{100^{2}\times 5} hei hua o ngā pūtake rua \sqrt{100^{2}}\sqrt{5}. Tuhia te pūtakerua o te 100^{2}.