Whakaoti i te sqrt{12}+sqrt{18}+sqrt{27}-sqrt{32}

$$\sqrt{ 12 } + \sqrt{ 18 } + \sqrt{ 27 } - \sqrt{ 32 }$$

Aromātai

$$5\sqrt{3}-\sqrt{2}\approx 7.246040475$$

Ngā Upane Otinga

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{3}+\sqrt{18}+\sqrt{27}-\sqrt{32}$$

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}.

$$2\sqrt{3}+3\sqrt{2}+\sqrt{27}-\sqrt{32}$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

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

Pahekotia te 2\sqrt{3} me 3\sqrt{3}, ka 5\sqrt{3}.

$$5\sqrt{3}+3\sqrt{2}-\sqrt{32}$$

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}.

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

Pahekotia te 3\sqrt{2} me -4\sqrt{2}, ka -\sqrt{2}.

$$5\sqrt{3}-\sqrt{2}$$