Whakaoti i te 2sqrt{18}-2sqrt{12}+2sqrt{18}

$$2 \sqrt { 18 } - 2 \sqrt { 12 } + 2 \sqrt { 18 }$$

Aromātai

$$4\sqrt{3}\left(\sqrt{6}-1\right)\approx 10.042359518$$

Ngā Upane Otinga

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$2\times 3\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

Whakareatia te 2 ki te 3, ka 6.

$$6\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

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}.

$$6\sqrt{2}-2\times 2\sqrt{3}+2\sqrt{18}$$

Whakareatia te -2 ki te 2, ka -4.

$$6\sqrt{2}-4\sqrt{3}+2\sqrt{18}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$6\sqrt{2}-4\sqrt{3}+2\times 3\sqrt{2}$$

Whakareatia te 2 ki te 3, ka 6.

$$6\sqrt{2}-4\sqrt{3}+6\sqrt{2}$$

Pahekotia te 6\sqrt{2} me 6\sqrt{2}, ka 12\sqrt{2}.

$$12\sqrt{2}-4\sqrt{3}$$

Tauwehe

$$4 \sqrt{3} {(\sqrt{2} \sqrt{3} - 1)} = 10.042359518$$