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3\sqrt{2}-\left(198-2\sqrt{75}+\sqrt{27}\right)
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}.
3\sqrt{2}-\left(198-2\times 5\sqrt{3}+\sqrt{27}\right)
Tauwehea te 75=5^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 3} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{3}. Tuhia te pūtakerua o te 5^{2}.
3\sqrt{2}-\left(198-10\sqrt{3}+\sqrt{27}\right)
Whakareatia te -2 ki te 5, ka -10.
3\sqrt{2}-\left(198-10\sqrt{3}+3\sqrt{3}\right)
Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.
3\sqrt{2}-\left(198-7\sqrt{3}\right)
Pahekotia te -10\sqrt{3} me 3\sqrt{3}, ka -7\sqrt{3}.
3\sqrt{2}-198-\left(-7\sqrt{3}\right)
Hei kimi i te tauaro o 198-7\sqrt{3}, kimihia te tauaro o ia taurangi.
3\sqrt{2}-198+7\sqrt{3}
Ko te tauaro o -7\sqrt{3} ko 7\sqrt{3}.