Datrys frac{sqrt{96}+3sqrt{3}}{sqrt{2}}=

$$\frac { \sqrt { 96 } + 3 \sqrt { 3 } } { \sqrt { 2 } } =$$

Enrhifo

$$\frac{\sqrt{3}\left(3\sqrt{2}+8\right)}{2}\approx 10.602437844$$

Camau Ateb

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}.

$$\frac{4\sqrt{6}+3\sqrt{3}}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{4\sqrt{6}+3\sqrt{3}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{\left(4\sqrt{6}+3\sqrt{3}\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\left(4\sqrt{6}+3\sqrt{3}\right)\sqrt{2}}{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 4\sqrt{6}+3\sqrt{3} â \sqrt{2}.

$$\frac{4\sqrt{6}\sqrt{2}+3\sqrt{3}\sqrt{2}}{2}$$

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

$$\frac{4\sqrt{2}\sqrt{3}\sqrt{2}+3\sqrt{3}\sqrt{2}}{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$\frac{4\times 2\sqrt{3}+3\sqrt{3}\sqrt{2}}{2}$$

Lluosi 4 a 2 i gael 8.

$$\frac{8\sqrt{3}+3\sqrt{3}\sqrt{2}}{2}$$

I luosi \sqrt{3} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{8\sqrt{3}+3\sqrt{6}}{2}$$