Whakaoti i te 3sqrt{8}+2sqrt{32}-sqrt{50}

$$3 \sqrt { 8 } + 2 \sqrt { 32 } - \sqrt { 50 }$$

Aromātai

$$9\sqrt{2}\approx 12.727922061$$

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}.

$$3\times 2\sqrt{2}+2\sqrt{32}-\sqrt{50}$$

Whakareatia te 3 ki te 2, ka 6.

$$6\sqrt{2}+2\sqrt{32}-\sqrt{50}$$

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}.

$$6\sqrt{2}+2\times 4\sqrt{2}-\sqrt{50}$$

Whakareatia te 2 ki te 4, ka 8.

$$6\sqrt{2}+8\sqrt{2}-\sqrt{50}$$

Pahekotia te 6\sqrt{2} me 8\sqrt{2}, ka 14\sqrt{2}.

$$14\sqrt{2}-\sqrt{50}$$

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}.

$$14\sqrt{2}-5\sqrt{2}$$

Pahekotia te 14\sqrt{2} me -5\sqrt{2}, ka 9\sqrt{2}.

$$9\sqrt{2}$$