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

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

Aromātai

$$54$$

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}.

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

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

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

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}.

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

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

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

Whakareatia te \sqrt{6} ki te \sqrt{6}, ka 6.

$$9\times 6$$

Whakareatia te 9 ki te 6, ka 54.

$$54$$

Tauwehe

$$2\times 3^{3}$$