Datrys sqrt{13/5}div22sqrt{1/5}*sqrt{63}=

$$\sqrt { 1 \frac { 3 } { 5 } } \div 22 \sqrt { \frac { 1 } { 5 } } \times \sqrt { 63 } =$$

Enrhifo

$$\frac{3\sqrt{14}}{55}\approx 0.204090403$$

Camau Ateb

Lluosi 1 a 5 i gael 5.

$$\frac{\sqrt{\frac{5+3}{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Adio 5 a 3 i gael 8.

$$\frac{\sqrt{\frac{8}{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

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

$$\frac{\frac{\sqrt{8}}{\sqrt{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

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}.

$$\frac{\frac{2\sqrt{2}}{\sqrt{5}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

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

$$\frac{\frac{2\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\frac{2\sqrt{2}\sqrt{5}}{5}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

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

$$\frac{\frac{2\sqrt{10}}{5}}{22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Mynegwch \frac{\frac{2\sqrt{10}}{5}}{22} fel ffracsiwn unigol.

$$\frac{2\sqrt{10}}{5\times 22}\sqrt{\frac{1}{5}}\sqrt{63}$$

Canslo 2 yn y rhifiadur a'r enwadur.

$$\frac{\sqrt{10}}{5\times 11}\sqrt{\frac{1}{5}}\sqrt{63}$$

Lluosi 5 a 11 i gael 55.

$$\frac{\sqrt{10}}{55}\sqrt{\frac{1}{5}}\sqrt{63}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{5}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{5}}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{1}}{\sqrt{5}}\sqrt{63}$$

Cyfrifo ail isradd 1 a chael 1.

$$\frac{\sqrt{10}}{55}\times \frac{1}{\sqrt{5}}\sqrt{63}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\sqrt{63}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{5}\sqrt{63}$$

Ffactora 63=3^{2}\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 7} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{7}. Cymryd isradd 3^{2}.

$$\frac{\sqrt{10}}{55}\times \frac{\sqrt{5}}{5}\times 3\sqrt{7}$$

Lluoswch \frac{\sqrt{10}}{55} â \frac{\sqrt{5}}{5} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\sqrt{10}\sqrt{5}}{55\times 5}\times 3\sqrt{7}$$

Mynegwch \frac{\sqrt{10}\sqrt{5}}{55\times 5}\times 3 fel ffracsiwn unigol.

$$\frac{\sqrt{10}\sqrt{5}\times 3}{55\times 5}\sqrt{7}$$

Mynegwch \frac{\sqrt{10}\sqrt{5}\times 3}{55\times 5}\sqrt{7} fel ffracsiwn unigol.

$$\frac{\sqrt{10}\sqrt{5}\times 3\sqrt{7}}{55\times 5}$$

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

$$\frac{\sqrt{5}\sqrt{2}\sqrt{5}\times 3\sqrt{7}}{55\times 5}$$

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

$$\frac{5\sqrt{2}\times 3\sqrt{7}}{55\times 5}$$

Lluosi 5 a 3 i gael 15.

$$\frac{15\sqrt{2}\sqrt{7}}{55\times 5}$$

I luosi \sqrt{2} a \sqrt{7}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{15\sqrt{14}}{55\times 5}$$

Lluosi 55 a 5 i gael 275.

$$\frac{15\sqrt{14}}{275}$$

Rhannu 15\sqrt{14} â 275 i gael \frac{3}{55}\sqrt{14}.

$$\frac{3}{55}\sqrt{14}$$