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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\sqrt{100+15^{2}}
Tātaihia te 10 mā te pū o 2, kia riro ko 100.
\sqrt{100+225}
Tātaihia te 15 mā te pū o 2, kia riro ko 225.
\sqrt{325}
Tāpirihia te 100 ki te 225, ka 325.
5\sqrt{13}
Tauwehea te 325=5^{2}\times 13. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 13} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{13}. Tuhia te pūtakerua o te 5^{2}.