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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\sqrt{25+50^{2}}
Tātaihia te 5 mā te pū o 2, kia riro ko 25.
\sqrt{25+2500}
Tātaihia te 50 mā te pū o 2, kia riro ko 2500.
\sqrt{2525}
Tāpirihia te 25 ki te 2500, ka 2525.
5\sqrt{101}
Tauwehea te 2525=5^{2}\times 101. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 101} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{101}. Tuhia te pūtakerua o te 5^{2}.