Whakaoti i te frac{2sqrt{18}-sqrt{32}}{sqrt{8}+sqrt{2}}

$$\frac { 2 \sqrt { 18 } - \sqrt { 32 } } { \sqrt { 8 } + \sqrt { 2 } }$$

Aromātai

$$\frac{2}{3}\approx 0.666666667$$

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}.

$$\frac{2\times 3\sqrt{2}-\sqrt{32}}{\sqrt{8}+\sqrt{2}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6\sqrt{2}-\sqrt{32}}{\sqrt{8}+\sqrt{2}}$$

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{6\sqrt{2}-4\sqrt{2}}{\sqrt{8}+\sqrt{2}}$$

Pahekotia te 6\sqrt{2} me -4\sqrt{2}, ka 2\sqrt{2}.

$$\frac{2\sqrt{2}}{\sqrt{8}+\sqrt{2}}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{2\sqrt{2}}{2\sqrt{2}+\sqrt{2}}$$

Pahekotia te 2\sqrt{2} me \sqrt{2}, ka 3\sqrt{2}.

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

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

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

Tauwehe

$$\frac{2}{3} = 0.6666666666666666$$