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Ngā Raru Ōrite mai i te Rapu Tukutuku

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12+20\sqrt{10}-15\sqrt{6}-25\sqrt{6}\sqrt{10}
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 4-5\sqrt{6} ki ia tau o 3+5\sqrt{10}.
12+20\sqrt{10}-15\sqrt{6}-25\sqrt{60}
Hei whakarea \sqrt{6} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.
12+20\sqrt{10}-15\sqrt{6}-25\times 2\sqrt{15}
Tauwehea te 60=2^{2}\times 15. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 15} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{15}. Tuhia te pūtakerua o te 2^{2}.
12+20\sqrt{10}-15\sqrt{6}-50\sqrt{15}
Whakareatia te -25 ki te 2, ka -50.