Datrys sqrt{5/3}divsqrt{7/3}*sqrt{7/5}

$$\sqrt{ \frac{ 5 }{ 3 } } \div \sqrt{ \frac{ 7 }{ 3 } } \times \sqrt{ \frac{ 7 }{ 5 } }$$

Enrhifo

$$1$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{5}{3}} fel rhaniad ail israddau \frac{\sqrt{5}}{\sqrt{3}}.

$$\frac{\frac{\sqrt{5}}{\sqrt{3}}}{\sqrt{\frac{7}{3}}}\sqrt{\frac{7}{5}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{5}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}{\sqrt{\frac{7}{3}}}\sqrt{\frac{7}{5}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\frac{\sqrt{5}\sqrt{3}}{3}}{\sqrt{\frac{7}{3}}}\sqrt{\frac{7}{5}}$$

I luosi \sqrt{5} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\frac{\sqrt{15}}{3}}{\sqrt{\frac{7}{3}}}\sqrt{\frac{7}{5}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{7}{3}} fel rhaniad ail israddau \frac{\sqrt{7}}{\sqrt{3}}.

$$\frac{\frac{\sqrt{15}}{3}}{\frac{\sqrt{7}}{\sqrt{3}}}\sqrt{\frac{7}{5}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{7}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\frac{\sqrt{15}}{3}}{\frac{\sqrt{7}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}\sqrt{\frac{7}{5}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\frac{\sqrt{15}}{3}}{\frac{\sqrt{7}\sqrt{3}}{3}}\sqrt{\frac{7}{5}}$$

I luosi \sqrt{7} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\frac{\sqrt{15}}{3}}{\frac{\sqrt{21}}{3}}\sqrt{\frac{7}{5}}$$

Rhannwch \frac{\sqrt{15}}{3} â \frac{\sqrt{21}}{3} drwy luosi \frac{\sqrt{15}}{3} â chilydd \frac{\sqrt{21}}{3}.

$$\frac{\sqrt{15}\times 3}{3\sqrt{21}}\sqrt{\frac{7}{5}}$$

Canslo 3 yn y rhifiadur a'r enwadur.

$$\frac{\sqrt{15}}{\sqrt{21}}\sqrt{\frac{7}{5}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{15}}{\sqrt{21}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{21}.

$$\frac{\sqrt{15}\sqrt{21}}{\left(\sqrt{21}\right)^{2}}\sqrt{\frac{7}{5}}$$

Sgwâr \sqrt{21} yw 21.

$$\frac{\sqrt{15}\sqrt{21}}{21}\sqrt{\frac{7}{5}}$$

I luosi \sqrt{15} a \sqrt{21}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{315}}{21}\sqrt{\frac{7}{5}}$$

Ffactora 315=3^{2}\times 35. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 35} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{35}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{35}}{21}\sqrt{\frac{7}{5}}$$

Rhannu 3\sqrt{35} â 21 i gael \frac{1}{7}\sqrt{35}.

$$\frac{1}{7}\sqrt{35}\sqrt{\frac{7}{5}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{7}{5}} fel rhaniad ail israddau \frac{\sqrt{7}}{\sqrt{5}}.

$$\frac{1}{7}\sqrt{35}\times \frac{\sqrt{7}}{\sqrt{5}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{7}}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{1}{7}\sqrt{35}\times \frac{\sqrt{7}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{1}{7}\sqrt{35}\times \frac{\sqrt{7}\sqrt{5}}{5}$$

I luosi \sqrt{7} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{1}{7}\sqrt{35}\times \frac{\sqrt{35}}{5}$$

Lluoswch \frac{1}{7} â \frac{\sqrt{35}}{5} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\sqrt{35}}{7\times 5}\sqrt{35}$$

Lluosi 7 a 5 i gael 35.

$$\frac{\sqrt{35}}{35}\sqrt{35}$$

Mynegwch \frac{\sqrt{35}}{35}\sqrt{35} fel ffracsiwn unigol.

$$\frac{\sqrt{35}\sqrt{35}}{35}$$

Lluosi \sqrt{35} a \sqrt{35} i gael 35.

$$\frac{35}{35}$$

Rhannu 35 â 35 i gael 1.

$$1$$

Ffactor

$$1$$