Datrys 3sqrt{2frac{2/3}}{1/2}sqrt{2/5}*(-1/8sqrt{15})

$$\frac{ 3 \sqrt{ 2 \frac{ 2 }{ 3 } } }{ \frac{ 1 }{ 2 } } \sqrt{ \frac{ 2 }{ 5 } } \times (- \frac{ 1 }{ 8 } \sqrt{ 15 } )$$

Enrhifo

$$-3$$

Camau Ateb

Lluosi 2 a 3 i gael 6.

$$\frac{3\sqrt{\frac{6+2}{3}}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Adio 6 a 2 i gael 8.

$$\frac{3\sqrt{\frac{8}{3}}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{8}{3}} fel rhaniad ail israddau \frac{\sqrt{8}}{\sqrt{3}}.

$$\frac{3\times \frac{\sqrt{8}}{\sqrt{3}}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

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}.

$$\frac{3\times \frac{2\sqrt{2}}{\sqrt{3}}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

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

$$\frac{3\times \frac{2\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{3\times \frac{2\sqrt{2}\sqrt{3}}{3}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{3\times \frac{2\sqrt{6}}{3}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Canslo 3 a 3.

$$\frac{2\sqrt{6}}{\frac{1}{2}}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Rhannwch 2\sqrt{6} â \frac{1}{2} drwy luosi 2\sqrt{6} â chilydd \frac{1}{2}.

$$2\sqrt{6}\times 2\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{6}\sqrt{\frac{2}{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{2}{5}} fel rhaniad ail israddau \frac{\sqrt{2}}{\sqrt{5}}.

$$4\sqrt{6}\times \frac{\sqrt{2}}{\sqrt{5}}\left(-\frac{1}{8}\right)\sqrt{15}$$

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

$$4\sqrt{6}\times \frac{\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\left(-\frac{1}{8}\right)\sqrt{15}$$

Sgwâr \sqrt{5} yw 5.

$$4\sqrt{6}\times \frac{\sqrt{2}\sqrt{5}}{5}\left(-\frac{1}{8}\right)\sqrt{15}$$

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

$$4\sqrt{6}\times \frac{\sqrt{10}}{5}\left(-\frac{1}{8}\right)\sqrt{15}$$

Mynegwch 4\left(-\frac{1}{8}\right) fel ffracsiwn unigol.

$$\frac{4\left(-1\right)}{8}\sqrt{6}\times \frac{\sqrt{10}}{5}\sqrt{15}$$

Lluosi 4 a -1 i gael -4.

$$\frac{-4}{8}\sqrt{6}\times \frac{\sqrt{10}}{5}\sqrt{15}$$

Lleihau'r ffracsiwn \frac{-4}{8} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$-\frac{1}{2}\sqrt{6}\times \frac{\sqrt{10}}{5}\sqrt{15}$$

Lluoswch -\frac{1}{2} â \frac{\sqrt{10}}{5} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{-\sqrt{10}}{2\times 5}\sqrt{6}\sqrt{15}$$

Mynegwch \frac{-\sqrt{10}}{2\times 5}\sqrt{15} fel ffracsiwn unigol.

$$\frac{-\sqrt{10}\sqrt{15}}{2\times 5}\sqrt{6}$$

I luosi \sqrt{10} a \sqrt{15}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{-\sqrt{150}}{2\times 5}\sqrt{6}$$

Lluosi 2 a 5 i gael 10.

$$\frac{-\sqrt{150}}{10}\sqrt{6}$$

Ffactora 150=5^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 6} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{6}. Cymryd isradd 5^{2}.

$$\frac{-5\sqrt{6}}{10}\sqrt{6}$$

Rhannu -5\sqrt{6} â 10 i gael -\frac{1}{2}\sqrt{6}.

$$-\frac{1}{2}\sqrt{6}\sqrt{6}$$

Lluosi \sqrt{6} a \sqrt{6} i gael 6.

$$-\frac{1}{2}\times 6$$

Mynegwch -\frac{1}{2}\times 6 fel ffracsiwn unigol.

$$\frac{-6}{2}$$

Rhannu -6 â 2 i gael -3.

$$-3$$

Ffactor

$$-3$$