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

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

Aromātai

$$-6\sqrt{2}-6\sqrt{3}\approx -18.87758622$$

Ngā Upane Otinga

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

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

Whakareatia te 2 ki te -1, ka -2.

$$-2\sqrt{3}\sqrt{6}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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}.

$$-2\sqrt{3}\sqrt{3}\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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}.

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{2}\sqrt{3}$$

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

$$-2\times 3\sqrt{2}+3\times 2\left(-1\right)\sqrt{3}$$

Whakareatia te 3 ki te 2, ka 6.

$$-2\times 3\sqrt{2}+6\left(-1\right)\sqrt{3}$$

Whakareatia te 6 ki te -1, ka -6.

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

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

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

Tauwehe

$$6 {(-\sqrt{2} - \sqrt{3})} = -18.87758622$$