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\frac{\sqrt{45}}{\sqrt{4}}-\sqrt{5}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{45}{4}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{45}}{\sqrt{4}}.
\frac{3\sqrt{5}}{\sqrt{4}}-\sqrt{5}
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}.
\frac{3\sqrt{5}}{2}-\sqrt{5}
Tātaitia te pūtakerua o 4 kia tae ki 2.
\frac{1}{2}\sqrt{5}
Pahekotia te \frac{3\sqrt{5}}{2} me -\sqrt{5}, ka \frac{1}{2}\sqrt{5}.