Datrys frac{3sqrt{2}}{2sqrt{6}}

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

Enrhifo

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Camau Ateb

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

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

Sgwâr \sqrt{6} yw 6.

$$\frac{3\sqrt{2}\sqrt{6}}{2\times 6}$$

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

$$\frac{3\sqrt{2}\sqrt{2}\sqrt{3}}{2\times 6}$$

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

$$\frac{3\times 2\sqrt{3}}{2\times 6}$$

Lluosi 2 a 6 i gael 12.

$$\frac{3\times 2\sqrt{3}}{12}$$

Lluosi 3 a 2 i gael 6.

$$\frac{6\sqrt{3}}{12}$$

Rhannu 6\sqrt{3} â 12 i gael \frac{1}{2}\sqrt{3}.

$$\frac{1}{2}\sqrt{3}$$