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3\times 5\sqrt{2}-2\sqrt{18}+\sqrt{98}
Tauwehea te 50=5^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 2} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{2}. Tuhia te pūtakerua o te 5^{2}.
15\sqrt{2}-2\sqrt{18}+\sqrt{98}
Whakareatia te 3 ki te 5, ka 15.
15\sqrt{2}-2\times 3\sqrt{2}+\sqrt{98}
Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.
15\sqrt{2}-6\sqrt{2}+\sqrt{98}
Whakareatia te -2 ki te 3, ka -6.
9\sqrt{2}+\sqrt{98}
Pahekotia te 15\sqrt{2} me -6\sqrt{2}, ka 9\sqrt{2}.
9\sqrt{2}+7\sqrt{2}
Tauwehea te 98=7^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{7^{2}\times 2} hei hua o ngā pūtake rua \sqrt{7^{2}}\sqrt{2}. Tuhia te pūtakerua o te 7^{2}.
16\sqrt{2}
Pahekotia te 9\sqrt{2} me 7\sqrt{2}, ka 16\sqrt{2}.