Datrys frac{sqrt{66}}{sqrt{54}}

$$\frac { \sqrt { 66 } } { \sqrt { 54 } }$$

Enrhifo

$$\frac{\sqrt{11}}{3}\approx 1.105541597$$

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}.

$$\frac{\sqrt{66}}{3\sqrt{6}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{66}}{3\sqrt{6}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{6}.

$$\frac{\sqrt{66}\sqrt{6}}{3\left(\sqrt{6}\right)^{2}}$$

Sgwâr \sqrt{6} yw 6.

$$\frac{\sqrt{66}\sqrt{6}}{3\times 6}$$

Ffactora 66=6\times 11. Ailysgrifennu ail isradd y lluoswm \sqrt{6\times 11} fel lluoswm ail israddau \sqrt{6}\sqrt{11}.

$$\frac{\sqrt{6}\sqrt{11}\sqrt{6}}{3\times 6}$$

Lluosi \sqrt{6} a \sqrt{6} i gael 6.

$$\frac{6\sqrt{11}}{3\times 6}$$

Lluosi 3 a 6 i gael 18.

$$\frac{6\sqrt{11}}{18}$$

Rhannu 6\sqrt{11} â 18 i gael \frac{1}{3}\sqrt{11}.

$$\frac{1}{3}\sqrt{11}$$