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45\times 5\sqrt{233}
Tauwehea te 5825=5^{2}\times 233. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 233} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{233}. Tuhia te pūtakerua o te 5^{2}.
225\sqrt{233}
Whakareatia te 45 ki te 5, ka 225.