Datrys (sqrt{5}div(-2sqrt{5/2})

$$( \sqrt { 5 } \div ( - 2 \sqrt { \frac { 5 } { 2 } } )$$

Enrhifo

$$-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{5}{2}} fel rhaniad ail israddau \frac{\sqrt{5}}{\sqrt{2}}.

$$\frac{\sqrt{5}}{-2\times \frac{\sqrt{5}}{\sqrt{2}}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{5}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

$$\frac{\sqrt{5}}{-2\times \frac{\sqrt{5}\sqrt{2}}{2}}$$

I luosi \sqrt{5} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{5}}{-2\times \frac{\sqrt{10}}{2}}$$

Canslo 2 a 2.

$$\frac{\sqrt{5}}{-\sqrt{10}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{5}}{-\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{\sqrt{5}\sqrt{10}}{-\left(\sqrt{10}\right)^{2}}$$

Sgwâr \sqrt{10} yw 10.

$$\frac{\sqrt{5}\sqrt{10}}{-10}$$

Ffactora 10=5\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{5\times 2} fel lluoswm ail israddau \sqrt{5}\sqrt{2}.

$$\frac{\sqrt{5}\sqrt{5}\sqrt{2}}{-10}$$

Lluosi \sqrt{5} a \sqrt{5} i gael 5.

$$\frac{5\sqrt{2}}{-10}$$

Rhannu 5\sqrt{2} â -10 i gael -\frac{1}{2}\sqrt{2}.

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