Whakaoti i te sqrt{32}+2sqrt{8}-3sqrt{18}=

$$\sqrt { 32 } + 2 \sqrt { 8 } - 3 \sqrt { 18 } =$$

Aromātai

$$-\sqrt{2}\approx -1.414213562$$

Ngā Upane Otinga

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}.

$$4\sqrt{2}+2\sqrt{8}-3\sqrt{18}$$

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}.

$$4\sqrt{2}+2\times 2\sqrt{2}-3\sqrt{18}$$

Whakareatia te 2 ki te 2, ka 4.

$$4\sqrt{2}+4\sqrt{2}-3\sqrt{18}$$

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

$$8\sqrt{2}-3\sqrt{18}$$

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}.

$$8\sqrt{2}-3\times 3\sqrt{2}$$

Whakareatia te -3 ki te 3, ka -9.

$$8\sqrt{2}-9\sqrt{2}$$

Pahekotia te 8\sqrt{2} me -9\sqrt{2}, ka -\sqrt{2}.

$$-\sqrt{2}$$