Datrys (-2+6)^2divsqrt{12/3}

$$( - 2 + 6 ) ^ { 2 } \div \sqrt { 1 \frac { 2 } { 3 } }$$

Enrhifo

$$\frac{16\sqrt{15}}{5}\approx 12.393546708$$

Camau Ateb

Adio -2 a 6 i gael 4.

$$\frac{4^{2}}{\sqrt{\frac{1\times 3+2}{3}}}$$

Cyfrifo 4 i bŵer 2 a chael 16.

$$\frac{16}{\sqrt{\frac{1\times 3+2}{3}}}$$

Lluosi 1 a 3 i gael 3.

$$\frac{16}{\sqrt{\frac{3+2}{3}}}$$

Adio 3 a 2 i gael 5.

$$\frac{16}{\sqrt{\frac{5}{3}}}$$

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

$$\frac{16}{\frac{\sqrt{5}}{\sqrt{3}}}$$

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

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{16}{\frac{\sqrt{5}\sqrt{3}}{3}}$$

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

$$\frac{16}{\frac{\sqrt{15}}{3}}$$

Rhannwch 16 â \frac{\sqrt{15}}{3} drwy luosi 16 â chilydd \frac{\sqrt{15}}{3}.

$$\frac{16\times 3}{\sqrt{15}}$$

Mae'n rhesymoli enwadur \frac{16\times 3}{\sqrt{15}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{15}.

$$\frac{16\times 3\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

Sgwâr \sqrt{15} yw 15.

$$\frac{16\times 3\sqrt{15}}{15}$$

Lluosi 16 a 3 i gael 48.

$$\frac{48\sqrt{15}}{15}$$

Rhannu 48\sqrt{15} â 15 i gael \frac{16}{5}\sqrt{15}.

$$\frac{16}{5}\sqrt{15}$$