Datrys sqrt{frac{3/2}}{sqrt{1/8}}

$$\frac { \sqrt { \frac { 3 } { 2 } } } { \sqrt { \frac { 1 } { 8 } } }$$

Enrhifo

$$2\sqrt{3}\approx 3.464101615$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{3}{2}} fel rhaniad ail israddau \frac{\sqrt{3}}{\sqrt{2}}.

$$\frac{\frac{\sqrt{3}}{\sqrt{2}}}{\sqrt{\frac{1}{8}}}$$

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

$$\frac{\frac{\sqrt{3}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{\sqrt{\frac{1}{8}}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\frac{\sqrt{3}\sqrt{2}}{2}}{\sqrt{\frac{1}{8}}}$$

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

$$\frac{\frac{\sqrt{6}}{2}}{\sqrt{\frac{1}{8}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{8}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{8}}.

$$\frac{\frac{\sqrt{6}}{2}}{\frac{\sqrt{1}}{\sqrt{8}}}$$

Cyfrifo ail isradd 1 a chael 1.

$$\frac{\frac{\sqrt{6}}{2}}{\frac{1}{\sqrt{8}}}$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{\frac{\sqrt{6}}{2}}{\frac{1}{2\sqrt{2}}}$$

Mae'n rhesymoli enwadur \frac{1}{2\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

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

Lluosi 2 a 2 i gael 4.

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

Rhannwch \frac{\sqrt{6}}{2} â \frac{\sqrt{2}}{4} drwy luosi \frac{\sqrt{6}}{2} â chilydd \frac{\sqrt{2}}{4}.

$$\frac{\sqrt{6}\times 4}{2\sqrt{2}}$$

Canslo 2 yn y rhifiadur a'r enwadur.

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

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

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

Sgwâr \sqrt{2} yw 2.

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

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

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

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

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

Canslo 2 a 2.

$$2\sqrt{3}$$