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\sqrt{1225+45^{2}}
Tātaihia te 35 mā te pū o 2, kia riro ko 1225.
\sqrt{1225+2025}
Tātaihia te 45 mā te pū o 2, kia riro ko 2025.
\sqrt{3250}
Tāpirihia te 1225 ki te 2025, ka 3250.
5\sqrt{130}
Tauwehea te 3250=5^{2}\times 130. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 130} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{130}. Tuhia te pūtakerua o te 5^{2}.