Whakaoti i te -2/2sqrt{2}*frac{sqrt{6}}{3}

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

Aromātai

$$-\frac{\sqrt{3}}{3}\approx -0.577350269$$

Ngā Upane Otinga

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Me whakakore tahi te 2 i te taurunga me te tauraro.

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

Me whakarea te \frac{-\sqrt{2}}{2} ki te \frac{\sqrt{6}}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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}.

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

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

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

Whakareatia te 2 ki te 3, ka 6.

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

Whakawehea te -2\sqrt{3} ki te 6, kia riro ko -\frac{1}{3}\sqrt{3}.

$$-\frac{1}{3}\sqrt{3}$$