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\sqrt{5}+2\times 3\sqrt{5}-3\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}.
\sqrt{5}+6\sqrt{5}-3\sqrt{125}
Whakareatia te 2 ki te 3, ka 6.
7\sqrt{5}-3\sqrt{125}
Pahekotia te \sqrt{5} me 6\sqrt{5}, ka 7\sqrt{5}.
7\sqrt{5}-3\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}.
7\sqrt{5}-15\sqrt{5}
Whakareatia te -3 ki te 5, ka -15.
-8\sqrt{5}
Pahekotia te 7\sqrt{5} me -15\sqrt{5}, ka -8\sqrt{5}.