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6\times 5\sqrt{3}-\sqrt{12}
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}.
30\sqrt{3}-\sqrt{12}
Whakareatia te 6 ki te 5, ka 30.
30\sqrt{3}-2\sqrt{3}
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}.
28\sqrt{3}
Pahekotia te 30\sqrt{3} me -2\sqrt{3}, ka 28\sqrt{3}.