Datrys sqrt{31/5}divsqrt{15/5}

$$\sqrt { 3 \frac { 1 } { 5 } } \div \sqrt { 1 \frac { 5 } { 5 } }$$

Enrhifo

$$\frac{2\sqrt{10}}{5}\approx 1.264911064$$

Camau Ateb

Lluosi 3 a 5 i gael 15.

$$\frac{\sqrt{\frac{15+1}{5}}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Adio 15 a 1 i gael 16.

$$\frac{\sqrt{\frac{16}{5}}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{16}{5}} fel rhaniad ail israddau \frac{\sqrt{16}}{\sqrt{5}}.

$$\frac{\frac{\sqrt{16}}{\sqrt{5}}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Cyfrifo ail isradd 16 a chael 4.

$$\frac{\frac{4}{\sqrt{5}}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Mae'n rhesymoli enwadur \frac{4}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{\frac{4\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\frac{4\sqrt{5}}{5}}{\sqrt{\frac{1\times 5+5}{5}}}$$

Lluosi 1 a 5 i gael 5.

$$\frac{\frac{4\sqrt{5}}{5}}{\sqrt{\frac{5+5}{5}}}$$

Adio 5 a 5 i gael 10.

$$\frac{\frac{4\sqrt{5}}{5}}{\sqrt{\frac{10}{5}}}$$

Rhannu 10 â 5 i gael 2.

$$\frac{\frac{4\sqrt{5}}{5}}{\sqrt{2}}$$

Mynegwch \frac{\frac{4\sqrt{5}}{5}}{\sqrt{2}} fel ffracsiwn unigol.

$$\frac{4\sqrt{5}}{5\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{4\sqrt{5}}{5\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{4\sqrt{5}\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{4\sqrt{5}\sqrt{2}}{5\times 2}$$

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

$$\frac{4\sqrt{10}}{5\times 2}$$

Lluosi 5 a 2 i gael 10.

$$\frac{4\sqrt{10}}{10}$$

Rhannu 4\sqrt{10} â 10 i gael \frac{2}{5}\sqrt{10}.

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