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6\times 4\sqrt{3}-\sqrt{27}
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}.
24\sqrt{3}-\sqrt{27}
Whakareatia te 6 ki te 4, ka 24.
24\sqrt{3}-3\sqrt{3}
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}.
21\sqrt{3}
Pahekotia te 24\sqrt{3} me -3\sqrt{3}, ka 21\sqrt{3}.