Whakaoti i te sqrt{8}+sqrt{72}+sqrt{50}

$$\sqrt { 8 } + \sqrt { 72 } + \sqrt { 50 }$$

Aromātai

$$13\sqrt{2}\approx 18.384776311$$

Ngā Upane Otinga

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}.

$$2\sqrt{2}+\sqrt{72}+\sqrt{50}$$

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}.

$$2\sqrt{2}+6\sqrt{2}+\sqrt{50}$$

Pahekotia te 2\sqrt{2} me 6\sqrt{2}, ka 8\sqrt{2}.

$$8\sqrt{2}+\sqrt{50}$$

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}.

$$8\sqrt{2}+5\sqrt{2}$$

Pahekotia te 8\sqrt{2} me 5\sqrt{2}, ka 13\sqrt{2}.

$$13\sqrt{2}$$