Whakaoti i te sqrt{28}-sqrt{27}+sqrt{63}-sqrt{12}

$$\sqrt{ 28 } - \sqrt{ 27 } + \sqrt{ 63 } - \sqrt{ 12 }$$

Aromātai

$$5\left(\sqrt{7}-\sqrt{3}\right)\approx 4.568502517$$

Ngā Upane Otinga

Tauwehea te 28=2^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 7} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{7}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{7}-\sqrt{27}+\sqrt{63}-\sqrt{12}$$

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}.

$$2\sqrt{7}-3\sqrt{3}+\sqrt{63}-\sqrt{12}$$

Tauwehea te 63=3^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 7} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{7}. Tuhia te pūtakerua o te 3^{2}.

$$2\sqrt{7}-3\sqrt{3}+3\sqrt{7}-\sqrt{12}$$

Pahekotia te 2\sqrt{7} me 3\sqrt{7}, ka 5\sqrt{7}.

$$5\sqrt{7}-3\sqrt{3}-\sqrt{12}$$

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}.

$$5\sqrt{7}-3\sqrt{3}-2\sqrt{3}$$

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

$$5\sqrt{7}-5\sqrt{3}$$