Datrys (frac{sqrt{5}}{sqrt{6}}-frac{sqrt{2}}{sqrt{15}})^2

$$( \frac { \sqrt { 5 } } { \sqrt { 6 } } - \frac { \sqrt { 2 } } { \sqrt { 15 } } ) ^ { 2 }$$

Enrhifo

$$\frac{3}{10}=0.3$$

Camau Ateb

Mae'n rhesymoli enwadur \frac{\sqrt{5}}{\sqrt{6}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{6}.

$$\left(\frac{\sqrt{5}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

Sgwâr \sqrt{6} yw 6.

$$\left(\frac{\sqrt{5}\sqrt{6}}{6}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

I luosi \sqrt{5} a \sqrt{6}, dylid lluosi'r rhifau dan yr ail isradd.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}}{\sqrt{15}}\right)^{2}$$

Mae'n rhesymoli enwadur \frac{\sqrt{2}}{\sqrt{15}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{15}.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}\right)^{2}$$

Sgwâr \sqrt{15} yw 15.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{2}\sqrt{15}}{15}\right)^{2}$$

I luosi \sqrt{2} a \sqrt{15}, dylid lluosi'r rhifau dan yr ail isradd.

$$\left(\frac{\sqrt{30}}{6}-\frac{\sqrt{30}}{15}\right)^{2}$$

Cyfuno \frac{\sqrt{30}}{6} a -\frac{\sqrt{30}}{15} i gael \frac{1}{10}\sqrt{30}.

$$\left(\frac{1}{10}\sqrt{30}\right)^{2}$$

Ehangu \left(\frac{1}{10}\sqrt{30}\right)^{2}.

$$\left(\frac{1}{10}\right)^{2}\left(\sqrt{30}\right)^{2}$$

Cyfrifo \frac{1}{10} i bŵer 2 a chael \frac{1}{100}.

$$\frac{1}{100}\left(\sqrt{30}\right)^{2}$$

Sgwâr \sqrt{30} yw 30.

$$\frac{1}{100}\times 30$$

Lluosi \frac{1}{100} a 30 i gael \frac{3}{10}.

$$\frac{3}{10}$$

Ffactor

$$\frac{3}{2 \cdot 5} = 0.3$$