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4\sqrt{239}
Tauwehea te 3824=4^{2}\times 239. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 239} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{239}. Tuhia te pūtakerua o te 4^{2}.