Datrys 3sqrt{22/3}div2sqrt{2/5}*(-1/8sqrt{15})

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

Enrhifo

$$-\frac{3}{4}=-0.75$$

Camau Ateb

Lluosi 2 a 3 i gael 6.

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

Adio 6 a 2 i gael 8.

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

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

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

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}.

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

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

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

Sgwâr \sqrt{3} yw 3.

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

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

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

Canslo 3 a 3.

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

Canslo 2 a 2.

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

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

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

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

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

Sgwâr \sqrt{5} yw 5.

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

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

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

Mynegwch \sqrt{6}\times \frac{\sqrt{10}}{5} fel ffracsiwn unigol.

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

Lluoswch \frac{\sqrt{6}\sqrt{10}}{5} â -\frac{1}{8} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Mynegwch \frac{-\sqrt{6}\sqrt{10}}{5\times 8}\sqrt{15} fel ffracsiwn unigol.

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

I luosi \sqrt{6} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{-\sqrt{60}\sqrt{15}}{5\times 8}$$

Ffactora 60=15\times 4. Ailysgrifennu ail isradd y lluoswm \sqrt{15\times 4} fel lluoswm ail israddau \sqrt{15}\sqrt{4}.

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

Lluosi \sqrt{15} a \sqrt{15} i gael 15.

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

Lluosi 5 a 8 i gael 40.

$$\frac{-15\sqrt{4}}{40}$$

Cyfrifo ail isradd 4 a chael 2.

$$\frac{-15\times 2}{40}$$

Lluosi -15 a 2 i gael -30.

$$\frac{-30}{40}$$

Lleihau'r ffracsiwn \frac{-30}{40} i'r graddau lleiaf posib drwy dynnu a chanslo allan 10.

$$-\frac{3}{4}$$

Ffactor

$$-\frac{3}{4} = -0.75$$