Datrys sqrt{54}+sqrt{150}-sqrt{24}

$$\sqrt { 54 } + \sqrt { 150 } - \sqrt { 24 }$$

Enrhifo

$$6\sqrt{6}\approx 14.696938457$$

Camau Ateb

Ffactora 54=3^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 6} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{6}. Cymryd isradd 3^{2}.

$$3\sqrt{6}+\sqrt{150}-\sqrt{24}$$

Ffactora 150=5^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 6} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{6}. Cymryd isradd 5^{2}.

$$3\sqrt{6}+5\sqrt{6}-\sqrt{24}$$

Cyfuno 3\sqrt{6} a 5\sqrt{6} i gael 8\sqrt{6}.

$$8\sqrt{6}-\sqrt{24}$$

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}.

$$8\sqrt{6}-2\sqrt{6}$$

Cyfuno 8\sqrt{6} a -2\sqrt{6} i gael 6\sqrt{6}.

$$6\sqrt{6}$$