Whakaoti i te frac{1-sqrt{2}}{2sqrt{6}}

$$\frac { 1 - \sqrt { 2 } } { 2 \sqrt { 6 } }$$

Aromātai

$$\frac{\sqrt{6}-2\sqrt{3}}{12}\approx -0.084550989$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{1-\sqrt{2}}{2\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\frac{\left(1-\sqrt{2}\right)\sqrt{6}}{2\left(\sqrt{6}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

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

Whakareatia te 2 ki te 6, ka 12.

$$\frac{\left(1-\sqrt{2}\right)\sqrt{6}}{12}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1-\sqrt{2} ki te \sqrt{6}.

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

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}.

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

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

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