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8\times 3\sqrt{5}+7\sqrt{20}
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}.
24\sqrt{5}+7\sqrt{20}
Whakareatia te 8 ki te 3, ka 24.
24\sqrt{5}+7\times 2\sqrt{5}
Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.
24\sqrt{5}+14\sqrt{5}
Whakareatia te 7 ki te 2, ka 14.
38\sqrt{5}
Pahekotia te 24\sqrt{5} me 14\sqrt{5}, ka 38\sqrt{5}.