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2\sqrt{3}+\sqrt{27}-\sqrt{48}
Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.
2\sqrt{3}+3\sqrt{3}-\sqrt{48}
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}.
5\sqrt{3}-\sqrt{48}
Pahekotia te 2\sqrt{3} me 3\sqrt{3}, ka 5\sqrt{3}.
5\sqrt{3}-4\sqrt{3}
Tauwehea te 48=4^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 3} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{3}. Tuhia te pūtakerua o te 4^{2}.
\sqrt{3}
Pahekotia te 5\sqrt{3} me -4\sqrt{3}, ka \sqrt{3}.