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

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

Enrhifo

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

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}.

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

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

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

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}.

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

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

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

Lluosi 6 a 9 i gael 54.

$$54\sqrt{6}$$