Whakaoti i te 15sqrt{30*20}*sqrt{60}

$$15 \sqrt { 30 \cdot 20 } \cdot \sqrt { 60 }$$

Aromātai

$$900\sqrt{10}\approx 2846.049894152$$

Ngā Upane Otinga

Whakareatia te 30 ki te 20, ka 600.

$$15\sqrt{600}\sqrt{60}$$

Tauwehea te 600=10^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 6} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{6}. Tuhia te pūtakerua o te 10^{2}.

$$15\times 10\sqrt{6}\sqrt{60}$$

Whakareatia te 15 ki te 10, ka 150.

$$150\sqrt{6}\sqrt{60}$$

Tauwehea te 60=2^{2}\times 15. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 15} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{15}. Tuhia te pūtakerua o te 2^{2}.

$$150\sqrt{6}\times 2\sqrt{15}$$

Whakareatia te 150 ki te 2, ka 300.

$$300\sqrt{6}\sqrt{15}$$

Hei whakarea \sqrt{6} me \sqrt{15}, whakareatia ngā tau i raro i te pūtake rua.

$$300\sqrt{90}$$

Tauwehea te 90=3^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 10} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{10}. Tuhia te pūtakerua o te 3^{2}.

$$300\times 3\sqrt{10}$$

Whakareatia te 300 ki te 3, ka 900.

$$900\sqrt{10}$$