Whakaoti i te sqrt{12}*3/4div3sqrt{2}

$$\sqrt { 12 } \times \frac { 3 } { 4 } \div 3 \sqrt { 2 }$$

Aromātai

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Ngā Upane Otinga

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

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

Tuhia te 2\times \frac{3}{4} hei hautanga kotahi.

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

Whakareatia te 2 ki te 3, ka 6.

$$\frac{\frac{6}{4}\sqrt{3}}{3}\sqrt{2}$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

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

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

Hei whakarea \sqrt{3} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

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