Whakaoti i te sqrt{15}sqrt{20}sqrt{24}=

$$\sqrt { 15 } \sqrt { 20 } \sqrt { 24 } =$$

Aromātai

$$60\sqrt{2}\approx 84.852813742$$

Ngā Upane Otinga

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\sqrt{24}$$

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\times 2\sqrt{6}$$

Whakareatia te 2 ki te 2, ka 4.

$$\sqrt{15}\times 4\sqrt{5}\sqrt{6}$$

Tauwehea te 15=5\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5\times 3} hei hua o ngā pūtake rua \sqrt{5}\sqrt{3}.

$$\sqrt{5}\sqrt{3}\times 4\sqrt{5}\sqrt{6}$$

Whakareatia te \sqrt{5} ki te \sqrt{5}, ka 5.

$$5\times 4\sqrt{3}\sqrt{6}$$

Tauwehea te 6=3\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3\times 2} hei hua o ngā pūtake rua \sqrt{3}\sqrt{2}.

$$5\times 4\sqrt{3}\sqrt{3}\sqrt{2}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$5\times 4\times 3\sqrt{2}$$

Whakareatia te 5 ki te 4, ka 20.

$$20\times 3\sqrt{2}$$

Whakareatia te 20 ki te 3, ka 60.

$$60\sqrt{2}$$