Datrys frac{sqrt{24}+sqrt{216}}{sqrt{96}}=?

$$\frac { \sqrt { 24 } + \sqrt { 216 } } { \sqrt { 96 } } = ?$$

Enrhifo

$$2$$

Camau Ateb

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}.

$$\frac{2\sqrt{6}+\sqrt{216}}{\sqrt{96}}$$

Ffactora 216=6^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 6} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{6}. Cymryd isradd 6^{2}.

$$\frac{2\sqrt{6}+6\sqrt{6}}{\sqrt{96}}$$

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

$$\frac{8\sqrt{6}}{\sqrt{96}}$$

Ffactora 96=4^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 6} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{6}. Cymryd isradd 4^{2}.

$$\frac{8\sqrt{6}}{4\sqrt{6}}$$

Canslo 4\sqrt{6} yn y rhifiadur a'r enwadur.

$$2$$

Ffactor

$$2$$