Datrys -sqrt{27}div(3/10)sqrt{3/8}

$$- \sqrt { 27 } \div ( \frac { 3 } { 10 } ) \sqrt { \frac { 3 } { 8 } }$$

Enrhifo

$$-\frac{15\sqrt{2}}{2}\approx -10.606601718$$

Camau Ateb

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\sqrt{\frac{3}{8}}$$

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

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{3}}{\sqrt{8}}$$

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}.

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{3}}{2\sqrt{2}}$$

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

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{3}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{3}\sqrt{2}}{2\times 2}$$

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

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{6}}{2\times 2}$$

Lluosi 2 a 2 i gael 4.

$$\frac{-3\sqrt{3}}{\frac{3}{10}}\times \frac{\sqrt{6}}{4}$$

Rhannwch -3\sqrt{3} â \frac{3}{10} drwy luosi -3\sqrt{3} â chilydd \frac{3}{10}.

$$\frac{\left(-3\sqrt{3}\right)\times 10}{3}\times \frac{\sqrt{6}}{4}$$

Lluoswch \frac{\left(-3\sqrt{3}\right)\times 10}{3} â \frac{\sqrt{6}}{4} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\left(-3\sqrt{3}\right)\times 10\sqrt{6}}{3\times 4}$$

Canslo 2 yn y rhifiadur a'r enwadur.

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

Lluosi 5 a -1 i gael -5.

$$\frac{-5\times 3\sqrt{3}\sqrt{6}}{2\times 3}$$

Lluosi -5 a 3 i gael -15.

$$\frac{-15\sqrt{3}\sqrt{6}}{2\times 3}$$

Ffactora 6=3\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 2} fel lluoswm ail israddau \sqrt{3}\sqrt{2}.

$$\frac{-15\sqrt{3}\sqrt{3}\sqrt{2}}{2\times 3}$$

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

$$\frac{-15\times 3\sqrt{2}}{2\times 3}$$

Lluosi 2 a 3 i gael 6.

$$\frac{-15\times 3\sqrt{2}}{6}$$

Lluosi -15 a 3 i gael -45.

$$\frac{-45\sqrt{2}}{6}$$

Rhannu -45\sqrt{2} â 6 i gael -\frac{15}{2}\sqrt{2}.

$$-\frac{15}{2}\sqrt{2}$$