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

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

Aromātai

$$-9\sqrt{2}\approx -12.727922061$$

Ngā Upane Otinga

Tauwehea te 12=3\times 4. Tuhia anō te pūtake rua o te hua \sqrt{3\times 4} hei hua o ngā pūtake rua \sqrt{3}\sqrt{4}.

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

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

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

Tātaitia te pūtakerua o 4 kia tae ki 2.

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

Whakareatia te 3 ki te 2, ka 6.

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

Whakangāwaritia te tauraro o \frac{6}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakawehea te 6\sqrt{2} ki te 2, kia riro ko 3\sqrt{2}.

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

Whakareatia te -3 ki te 3, ka -9.

$$-9\sqrt{2}$$