Datrys sqrt{35}divsqrt{13/5}

$$\sqrt { 35 } \div \sqrt { 1 \frac { 3 } { 5 } }$$

Enrhifo

$$\frac{5\sqrt{14}}{4}\approx 4.677071733$$

Camau Ateb

Lluosi 1 a 5 i gael 5.

$$\frac{\sqrt{35}}{\sqrt{\frac{5+3}{5}}}$$

Adio 5 a 3 i gael 8.

$$\frac{\sqrt{35}}{\sqrt{\frac{8}{5}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{8}{5}} fel rhaniad ail israddau \frac{\sqrt{8}}{\sqrt{5}}.

$$\frac{\sqrt{35}}{\frac{\sqrt{8}}{\sqrt{5}}}$$

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}.

$$\frac{\sqrt{35}}{\frac{2\sqrt{2}}{\sqrt{5}}}$$

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

$$\frac{\sqrt{35}}{\frac{2\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\sqrt{35}}{\frac{2\sqrt{2}\sqrt{5}}{5}}$$

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

$$\frac{\sqrt{35}}{\frac{2\sqrt{10}}{5}}$$

Rhannwch \sqrt{35} â \frac{2\sqrt{10}}{5} drwy luosi \sqrt{35} â chilydd \frac{2\sqrt{10}}{5}.

$$\frac{\sqrt{35}\times 5}{2\sqrt{10}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{35}\times 5}{2\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{\sqrt{35}\times 5\sqrt{10}}{2\left(\sqrt{10}\right)^{2}}$$

Sgwâr \sqrt{10} yw 10.

$$\frac{\sqrt{35}\times 5\sqrt{10}}{2\times 10}$$

I luosi \sqrt{35} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{350}\times 5}{2\times 10}$$

Lluosi 2 a 10 i gael 20.

$$\frac{\sqrt{350}\times 5}{20}$$

Ffactora 350=5^{2}\times 14. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 14} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{14}. Cymryd isradd 5^{2}.

$$\frac{5\sqrt{14}\times 5}{20}$$

Lluosi 5 a 5 i gael 25.

$$\frac{25\sqrt{14}}{20}$$

Rhannu 25\sqrt{14} â 20 i gael \frac{5}{4}\sqrt{14}.

$$\frac{5}{4}\sqrt{14}$$