Whakaoti i te frac{3sqrt{2}}{2sqrt{6}}

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

Aromātai

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{3\sqrt{2}}{2\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

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

Ko te pūrua o \sqrt{6} ko 6.

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

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}.

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

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

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

Whakareatia te 2 ki te 6, ka 12.

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

Whakareatia te 3 ki te 2, ka 6.

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

Whakawehea te 6\sqrt{3} ki te 12, kia riro ko \frac{1}{2}\sqrt{3}.

$$\frac{1}{2}\sqrt{3}$$