Datrys left(sqrt{600}+sqrt{6}-sqrt{24}right)*sqrt{6}

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

Enrhifo

$$54$$

Camau Ateb

Ffactora 600=10^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{10^{2}\times 6} fel lluoswm ail israddau \sqrt{10^{2}}\sqrt{6}. Cymryd isradd 10^{2}.

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

Cyfuno 10\sqrt{6} a \sqrt{6} i gael 11\sqrt{6}.

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

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

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

Cyfuno 11\sqrt{6} a -2\sqrt{6} i gael 9\sqrt{6}.

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

Lluosi \sqrt{6} a \sqrt{6} i gael 6.

$$9\times 6$$

Lluosi 9 a 6 i gael 54.

$$54$$

Ffactor

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