Datrys 2sqrt{3}divsqrt{7/3}*sqrt{7/5}

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

Enrhifo

$$\frac{6\sqrt{5}}{5}\approx 2.683281573$$

Camau Ateb

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

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

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

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

Sgwâr \sqrt{3} yw 3.

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

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

$$\frac{2\sqrt{3}}{\frac{\sqrt{21}}{3}}\sqrt{\frac{7}{5}}$$

Rhannwch 2\sqrt{3} â \frac{\sqrt{21}}{3} drwy luosi 2\sqrt{3} â chilydd \frac{\sqrt{21}}{3}.

$$\frac{2\sqrt{3}\times 3}{\sqrt{21}}\sqrt{\frac{7}{5}}$$

Mae'n rhesymoli enwadur \frac{2\sqrt{3}\times 3}{\sqrt{21}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{21}.

$$\frac{2\sqrt{3}\times 3\sqrt{21}}{\left(\sqrt{21}\right)^{2}}\sqrt{\frac{7}{5}}$$

Sgwâr \sqrt{21} yw 21.

$$\frac{2\sqrt{3}\times 3\sqrt{21}}{21}\sqrt{\frac{7}{5}}$$

Lluosi 2 a 3 i gael 6.

$$\frac{6\sqrt{3}\sqrt{21}}{21}\sqrt{\frac{7}{5}}$$

Ffactora 21=3\times 7. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 7} fel lluoswm ail israddau \sqrt{3}\sqrt{7}.

$$\frac{6\sqrt{3}\sqrt{3}\sqrt{7}}{21}\sqrt{\frac{7}{5}}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$\frac{6\times 3\sqrt{7}}{21}\sqrt{\frac{7}{5}}$$

Lluosi 6 a 3 i gael 18.

$$\frac{18\sqrt{7}}{21}\sqrt{\frac{7}{5}}$$

Rhannu 18\sqrt{7} â 21 i gael \frac{6}{7}\sqrt{7}.

$$\frac{6}{7}\sqrt{7}\sqrt{\frac{7}{5}}$$

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

$$\frac{6}{7}\sqrt{7}\times \frac{\sqrt{7}}{\sqrt{5}}$$

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

$$\frac{6}{7}\sqrt{7}\times \frac{\sqrt{7}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{6}{7}\sqrt{7}\times \frac{\sqrt{7}\sqrt{5}}{5}$$

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

$$\frac{6}{7}\sqrt{7}\times \frac{\sqrt{35}}{5}$$

Lluoswch \frac{6}{7} â \frac{\sqrt{35}}{5} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{6\sqrt{35}}{7\times 5}\sqrt{7}$$

Lluosi 7 a 5 i gael 35.

$$\frac{6\sqrt{35}}{35}\sqrt{7}$$

Mynegwch \frac{6\sqrt{35}}{35}\sqrt{7} fel ffracsiwn unigol.

$$\frac{6\sqrt{35}\sqrt{7}}{35}$$

Ffactora 35=7\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{7\times 5} fel lluoswm ail israddau \sqrt{7}\sqrt{5}.

$$\frac{6\sqrt{7}\sqrt{5}\sqrt{7}}{35}$$

Lluosi \sqrt{7} a \sqrt{7} i gael 7.

$$\frac{6\times 7\sqrt{5}}{35}$$

Lluosi 6 a 7 i gael 42.

$$\frac{42\sqrt{5}}{35}$$

Rhannu 42\sqrt{5} â 35 i gael \frac{6}{5}\sqrt{5}.

$$\frac{6}{5}\sqrt{5}$$