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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\sqrt{400+12^{2}}
Tātaihia te 20 mā te pū o 2, kia riro ko 400.
\sqrt{400+144}
Tātaihia te 12 mā te pū o 2, kia riro ko 144.
\sqrt{544}
Tāpirihia te 400 ki te 144, ka 544.
4\sqrt{34}
Tauwehea te 544=4^{2}\times 34. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 34} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{34}. Tuhia te pūtakerua o te 4^{2}.