Whakaoti i te (sqrt{600}+sqrt{6}-sqrt{24})*6

$$( \sqrt{ 600 } + \sqrt{ 6 } - \sqrt{ 24 } ) \times 6$$

Aromātai

$$54\sqrt{6}\approx 132.27244611$$

Ngā Upane Otinga

Tauwehea te 600=10^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 6} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{6}. Tuhia te pūtakerua o te 10^{2}.

$$6\left(10\sqrt{6}+\sqrt{6}-\sqrt{24}\right)$$

Pahekotia te 10\sqrt{6} me \sqrt{6}, ka 11\sqrt{6}.

$$6\left(11\sqrt{6}-\sqrt{24}\right)$$

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

$$6\left(11\sqrt{6}-2\sqrt{6}\right)$$

Pahekotia te 11\sqrt{6} me -2\sqrt{6}, ka 9\sqrt{6}.

$$6\times 9\sqrt{6}$$

Whakareatia te 6 ki te 9, ka 54.

$$54\sqrt{6}$$