Whakaoti i te (2sqrt{3}-sqrt{6})*sqrt{12}

$$( 2 \sqrt { 3 } - \sqrt { 6 } ) \times \sqrt { 12 }$$

Aromātai

$$12-6\sqrt{2}\approx 3.514718626$$

Ngā Upane Otinga

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}.

$$\left(2\sqrt{3}-\sqrt{6}\right)\times 2\sqrt{3}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2\sqrt{3}-\sqrt{6} ki te 2.

$$\left(4\sqrt{3}-2\sqrt{6}\right)\sqrt{3}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4\sqrt{3}-2\sqrt{6} ki te \sqrt{3}.

$$4\left(\sqrt{3}\right)^{2}-2\sqrt{6}\sqrt{3}$$

Ko te pūrua o \sqrt{3} ko 3.

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

Whakareatia te 4 ki te 3, ka 12.

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

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}.

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

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

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

Whakareatia te -2 ki te 3, ka -6.

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