Whakaoti i te sqrt{8}*sqrt{6}-3sqrt{6}*sqrt{3}+2sqrt{12}

$$\sqrt { 8 } \times \sqrt { 6 } - 3 \sqrt { 6 } \times \sqrt { 3 } + 2 \sqrt { 12 }$$

Aromātai

$$8\sqrt{3}-9\sqrt{2}\approx 1.128484399$$

Ngā Upane Otinga

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{2}\sqrt{6}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

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

$$2\sqrt{2}\sqrt{2}\sqrt{3}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$2\times 2\sqrt{3}-3\sqrt{6}\sqrt{3}+2\sqrt{12}$$

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}.

$$2\times 2\sqrt{3}-3\sqrt{3}\sqrt{2}\sqrt{3}+2\sqrt{12}$$

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

$$2\times 2\sqrt{3}-3\times 3\sqrt{2}+2\sqrt{12}$$

Whakareatia te 3 ki te 3, ka 9.

$$2\times 2\sqrt{3}-9\sqrt{2}+2\sqrt{12}$$

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}.

$$2\times 2\sqrt{3}-9\sqrt{2}+2\times 2\sqrt{3}$$

Whakareatia te 2 ki te 2, ka 4.

$$2\times 2\sqrt{3}-9\sqrt{2}+4\sqrt{3}$$

Whakareatia te 2 ki te 2, ka 4.

$$4\sqrt{3}-9\sqrt{2}+4\sqrt{3}$$

Pahekotia te 4\sqrt{3} me 4\sqrt{3}, ka 8\sqrt{3}.

$$8\sqrt{3}-9\sqrt{2}$$