Datrys 2/sqrt{6}*1/sqrt{3^3}

$$\frac{ 2 }{ \sqrt{ 6 } } \times \frac{ 1 }{ \sqrt{ { 3 }^{ 3 } } }$$

Enrhifo

$$\frac{\sqrt{2}}{9}\approx 0.15713484$$

Camau Ateb

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

$$\frac{2\sqrt{6}}{\left(\sqrt{6}\right)^{2}}\times \frac{1}{\sqrt{3^{3}}}$$

Sgwâr \sqrt{6} yw 6.

$$\frac{2\sqrt{6}}{6}\times \frac{1}{\sqrt{3^{3}}}$$

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

$$\frac{1}{3}\sqrt{6}\times \frac{1}{\sqrt{3^{3}}}$$

Cyfrifo 3 i bŵer 3 a chael 27.

$$\frac{1}{3}\sqrt{6}\times \frac{1}{\sqrt{27}}$$

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

$$\frac{1}{3}\sqrt{6}\times \frac{1}{3\sqrt{3}}$$

Mae'n rhesymoli enwadur \frac{1}{3\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{1}{3}\sqrt{6}\times \frac{\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{1}{3}\sqrt{6}\times \frac{\sqrt{3}}{3\times 3}$$

Lluosi 3 a 3 i gael 9.

$$\frac{1}{3}\sqrt{6}\times \frac{\sqrt{3}}{9}$$

Lluoswch \frac{1}{3} â \frac{\sqrt{3}}{9} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\sqrt{3}}{3\times 9}\sqrt{6}$$

Lluosi 3 a 9 i gael 27.

$$\frac{\sqrt{3}}{27}\sqrt{6}$$

Mynegwch \frac{\sqrt{3}}{27}\sqrt{6} fel ffracsiwn unigol.

$$\frac{\sqrt{3}\sqrt{6}}{27}$$

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

$$\frac{\sqrt{3}\sqrt{3}\sqrt{2}}{27}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$\frac{3\sqrt{2}}{27}$$

Rhannu 3\sqrt{2} â 27 i gael \frac{1}{9}\sqrt{2}.

$$\frac{1}{9}\sqrt{2}$$