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\sqrt{15}\sqrt{24}\sqrt{15}\sqrt{2}
Tauwehea te 30=15\times 2. Tuhia anō te pūtake rua o te hua \sqrt{15\times 2} hei hua o ngā pūtake rua \sqrt{15}\sqrt{2}.
15\sqrt{24}\sqrt{2}
Whakareatia te \sqrt{15} ki te \sqrt{15}, ka 15.
15\sqrt{2}\sqrt{12}\sqrt{2}
Tauwehea te 24=2\times 12. Tuhia anō te pūtake rua o te hua \sqrt{2\times 12} hei hua o ngā pūtake rua \sqrt{2}\sqrt{12}.
15\times 2\sqrt{12}
Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.
30\sqrt{12}
Whakareatia te 15 ki te 2, ka 30.
30\times 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}.
60\sqrt{3}
Whakareatia te 30 ki te 2, ka 60.