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2\times 2\sqrt{5}-\sqrt{20}+3\sqrt{20}-2\sqrt{45}
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}.
4\sqrt{5}-\sqrt{20}+3\sqrt{20}-2\sqrt{45}
Whakareatia te 2 ki te 2, ka 4.
4\sqrt{5}-2\sqrt{5}+3\sqrt{20}-2\sqrt{45}
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}.
2\sqrt{5}+3\sqrt{20}-2\sqrt{45}
Pahekotia te 4\sqrt{5} me -2\sqrt{5}, ka 2\sqrt{5}.
2\sqrt{5}+3\times 2\sqrt{5}-2\sqrt{45}
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}.
2\sqrt{5}+6\sqrt{5}-2\sqrt{45}
Whakareatia te 3 ki te 2, ka 6.
8\sqrt{5}-2\sqrt{45}
Pahekotia te 2\sqrt{5} me 6\sqrt{5}, ka 8\sqrt{5}.
8\sqrt{5}-2\times 3\sqrt{5}
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}.
8\sqrt{5}-6\sqrt{5}
Whakareatia te -2 ki te 3, ka -6.
2\sqrt{5}
Pahekotia te 8\sqrt{5} me -6\sqrt{5}, ka 2\sqrt{5}.