Whakaoti i te 2sqrt{8}-3sqrt{32}+4sqrt{50}

$$2 \sqrt { 8 } - 3 \sqrt { 32 } + 4 \sqrt { 50 }$$

Aromātai

$$12\sqrt{2}\approx 16.970562748$$

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}.

$$2\times 2\sqrt{2}-3\sqrt{32}+4\sqrt{50}$$

Whakareatia te 2 ki te 2, ka 4.

$$4\sqrt{2}-3\sqrt{32}+4\sqrt{50}$$

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}.

$$4\sqrt{2}-3\times 4\sqrt{2}+4\sqrt{50}$$

Whakareatia te -3 ki te 4, ka -12.

$$4\sqrt{2}-12\sqrt{2}+4\sqrt{50}$$

Pahekotia te 4\sqrt{2} me -12\sqrt{2}, ka -8\sqrt{2}.

$$-8\sqrt{2}+4\sqrt{50}$$

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}.

$$-8\sqrt{2}+4\times 5\sqrt{2}$$

Whakareatia te 4 ki te 5, ka 20.

$$-8\sqrt{2}+20\sqrt{2}$$

Pahekotia te -8\sqrt{2} me 20\sqrt{2}, ka 12\sqrt{2}.

$$12\sqrt{2}$$