Whakaoti i te frac{3sqrt{18}-sqrt{50}}{2sqrt{72}}

$$\frac { 3 \sqrt { 18 } - \sqrt { 50 } } { 2 \sqrt { 72 } }$$

Aromātai

$$\frac{1}{3}\approx 0.333333333$$

Ngā Upane Otinga

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{3\times 3\sqrt{2}-\sqrt{50}}{2\sqrt{72}}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{9\sqrt{2}-\sqrt{50}}{2\sqrt{72}}$$

Tauwehea te 50=5^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 2} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{2}. Tuhia te pūtakerua o te 5^{2}.

$$\frac{9\sqrt{2}-5\sqrt{2}}{2\sqrt{72}}$$

Pahekotia te 9\sqrt{2} me -5\sqrt{2}, ka 4\sqrt{2}.

$$\frac{4\sqrt{2}}{2\sqrt{72}}$$

Tauwehea te 72=6^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 2} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{2}. Tuhia te pūtakerua o te 6^{2}.

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

Whakareatia te 2 ki te 6, ka 12.

$$\frac{4\sqrt{2}}{12\sqrt{2}}$$

Me whakakore tahi te 4\sqrt{2} i te taurunga me te tauraro.

$$\frac{1}{3}$$

Tauwehe

$$\frac{1}{3} = 0.3333333333333333$$