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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\sqrt{256-12^{2}}
Tātaihia te 16 mā te pū o 2, kia riro ko 256.
\sqrt{256-144}
Tātaihia te 12 mā te pū o 2, kia riro ko 144.
\sqrt{112}
Tangohia te 144 i te 256, ka 112.
4\sqrt{7}
Tauwehea te 112=4^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 7} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{7}. Tuhia te pūtakerua o te 4^{2}.