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9\sqrt{5}+10\times 3\sqrt{5}-10\sqrt{125}
Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.
9\sqrt{5}+30\sqrt{5}-10\sqrt{125}
Whakareatia te 10 ki te 3, ka 30.
39\sqrt{5}-10\sqrt{125}
Pahekotia te 9\sqrt{5} me 30\sqrt{5}, ka 39\sqrt{5}.
39\sqrt{5}-10\times 5\sqrt{5}
Tauwehea te 125=5^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 5} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{5}. Tuhia te pūtakerua o te 5^{2}.
39\sqrt{5}-50\sqrt{5}
Whakareatia te -10 ki te 5, ka -50.
-11\sqrt{5}
Pahekotia te 39\sqrt{5} me -50\sqrt{5}, ka -11\sqrt{5}.