Whakaoti i te =1/2*(3sqrt{2}*frac{2sqrt{6}}{3})

$$= \frac { 1 } { 2 } \cdot ( 3 \sqrt { 2 } \cdot \frac { 2 \sqrt { 6 } } { 3 } )$$

Aromātai

$$2\sqrt{3}\approx 3.464101615$$

Ngā Upane Otinga

Whakareatia te \frac{1}{2} ki te 3, ka \frac{3}{2}.

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

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

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

Me whakakore tahi te 2\times 3 i te taurunga me te tauraro.

$$\sqrt{6}\sqrt{2}$$

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}.

$$\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$2\sqrt{3}$$