Whakaoti i te 2sqrt{18}+5sqrt{50}-4sqrt{2}

$$2 \sqrt{ 18 } +5 \sqrt{ 50 } -4 \sqrt{ 2 }$$

Aromātai

$$27\sqrt{2}\approx 38.183766184$$

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}.

$$2\times 3\sqrt{2}+5\sqrt{50}-4\sqrt{2}$$

Whakareatia te 2 ki te 3, ka 6.

$$6\sqrt{2}+5\sqrt{50}-4\sqrt{2}$$

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}.

$$6\sqrt{2}+5\times 5\sqrt{2}-4\sqrt{2}$$

Whakareatia te 5 ki te 5, ka 25.

$$6\sqrt{2}+25\sqrt{2}-4\sqrt{2}$$

Pahekotia te 6\sqrt{2} me 25\sqrt{2}, ka 31\sqrt{2}.

$$31\sqrt{2}-4\sqrt{2}$$

Pahekotia te 31\sqrt{2} me -4\sqrt{2}, ka 27\sqrt{2}.

$$27\sqrt{2}$$