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3\sqrt{5}+\frac{\sqrt{10}}{\sqrt{2}}
Tauwehea te 45=3^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 5} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{5}. Tuhia te pūtakerua o te 3^{2}.
3\sqrt{5}+\sqrt{5}
Tuhia anō te whakawehe o ngā pūtake rua \frac{\sqrt{10}}{\sqrt{2}} hei pūtake rua o te whakawehenga \sqrt{\frac{10}{2}} ka mahi i te whakawehenga.
4\sqrt{5}
Pahekotia te 3\sqrt{5} me \sqrt{5}, ka 4\sqrt{5}.