Whakaoti i te 2sqrt{128}-sqrt{18}+4sqrt{32}

$$2 \sqrt { 128 } - \sqrt { 18 } + 4 \sqrt { 32 }$$

Aromātai

$$29\sqrt{2}\approx 41.012193309$$

Ngā Upane Otinga

Tauwehea te 128=8^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{8^{2}\times 2} hei hua o ngā pūtake rua \sqrt{8^{2}}\sqrt{2}. Tuhia te pūtakerua o te 8^{2}.

$$2\times 8\sqrt{2}-\sqrt{18}+4\sqrt{32}$$

Whakareatia te 2 ki te 8, ka 16.

$$16\sqrt{2}-\sqrt{18}+4\sqrt{32}$$

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}.

$$16\sqrt{2}-3\sqrt{2}+4\sqrt{32}$$

Pahekotia te 16\sqrt{2} me -3\sqrt{2}, ka 13\sqrt{2}.

$$13\sqrt{2}+4\sqrt{32}$$

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}.

$$13\sqrt{2}+4\times 4\sqrt{2}$$

Whakareatia te 4 ki te 4, ka 16.

$$13\sqrt{2}+16\sqrt{2}$$

Pahekotia te 13\sqrt{2} me 16\sqrt{2}, ka 29\sqrt{2}.

$$29\sqrt{2}$$