Whakaoti i te frac{sqrt{18}}{5sqrt{18}+3sqrt{72}-2sqrt{162}}

$$\frac { \sqrt { 18 } } { 5 \sqrt { 18 } + 3 \sqrt { 72 } - 2 \sqrt { 162 } }$$

Aromātai

$$\frac{1}{5}=0.2$$

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}.

$$\frac{3\sqrt{2}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}$$

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}.

$$\frac{3\sqrt{2}}{5\times 3\sqrt{2}+3\sqrt{72}-2\sqrt{162}}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{3\sqrt{2}}{15\sqrt{2}+3\sqrt{72}-2\sqrt{162}}$$

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}.

$$\frac{3\sqrt{2}}{15\sqrt{2}+3\times 6\sqrt{2}-2\sqrt{162}}$$

Whakareatia te 3 ki te 6, ka 18.

$$\frac{3\sqrt{2}}{15\sqrt{2}+18\sqrt{2}-2\sqrt{162}}$$

Pahekotia te 15\sqrt{2} me 18\sqrt{2}, ka 33\sqrt{2}.

$$\frac{3\sqrt{2}}{33\sqrt{2}-2\sqrt{162}}$$

Tauwehea te 162=9^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{9^{2}\times 2} hei hua o ngā pūtake rua \sqrt{9^{2}}\sqrt{2}. Tuhia te pūtakerua o te 9^{2}.

$$\frac{3\sqrt{2}}{33\sqrt{2}-2\times 9\sqrt{2}}$$

Whakareatia te -2 ki te 9, ka -18.

$$\frac{3\sqrt{2}}{33\sqrt{2}-18\sqrt{2}}$$

Pahekotia te 33\sqrt{2} me -18\sqrt{2}, ka 15\sqrt{2}.

$$\frac{3\sqrt{2}}{15\sqrt{2}}$$

Me whakakore tahi te 3\sqrt{2} i te taurunga me te tauraro.

$$\frac{1}{5}$$

Tauwehe

$$\frac{1}{5} = 0.2$$