Whakaoti i te 2*sqrt{49-2}left(6+2sqrt{3}+3sqrt{2}-sqrt{9}-sqrt{12}-sqrt{18}right)

$$2 \times \sqrt{ 49-2 } \left( 6+2 \sqrt{ 3 } +3 \sqrt{ 2 } - \sqrt{ 9 } - \sqrt{ 12 } - \sqrt{ 18 } \right)$$

Aromātai

$$6\sqrt{47}\approx 41.133927602$$

Ngā Upane Otinga

Tangohia te 2 i te 49, ka 47.

$$2\sqrt{47}\left(6+2\sqrt{3}+3\sqrt{2}-\sqrt{9}-\sqrt{12}-\sqrt{18}\right)$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$2\sqrt{47}\left(6+2\sqrt{3}+3\sqrt{2}-3-\sqrt{12}-\sqrt{18}\right)$$

Tangohia te 3 i te 6, ka 3.

$$2\sqrt{47}\left(3+2\sqrt{3}+3\sqrt{2}-\sqrt{12}-\sqrt{18}\right)$$

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}.

$$2\sqrt{47}\left(3+2\sqrt{3}+3\sqrt{2}-2\sqrt{3}-\sqrt{18}\right)$$

Pahekotia te 2\sqrt{3} me -2\sqrt{3}, ka 0.

$$2\sqrt{47}\left(3+3\sqrt{2}-\sqrt{18}\right)$$

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}.

$$2\sqrt{47}\left(3+3\sqrt{2}-3\sqrt{2}\right)$$

Pahekotia te 3\sqrt{2} me -3\sqrt{2}, ka 0.

$$2\sqrt{47}\times 3$$

Whakareatia te 2 ki te 3, ka 6.

$$6\sqrt{47}$$