Datrys 1/2sqrt{3}divsqrt{1/12}*sqrt{27}

$$\frac { 1 } { 2 } \sqrt { 3 } \div \sqrt { \frac { 1 } { 12 } } \times \sqrt { 27 }$$

Enrhifo

$$9\sqrt{3}\approx 15.588457268$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{12}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{12}}.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{\sqrt{1}}{\sqrt{12}}}\sqrt{27}$$

Cyfrifo ail isradd 1 a chael 1.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{1}{\sqrt{12}}}\sqrt{27}$$

Ffactora 12=2^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 3} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{3}. Cymryd isradd 2^{2}.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{1}{2\sqrt{3}}}\sqrt{27}$$

Mae'n rhesymoli enwadur \frac{1}{2\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}}\sqrt{27}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{\sqrt{3}}{2\times 3}}\sqrt{27}$$

Lluosi 2 a 3 i gael 6.

$$\frac{\frac{1}{2}\sqrt{3}}{\frac{\sqrt{3}}{6}}\sqrt{27}$$

Rhannwch \frac{1}{2}\sqrt{3} â \frac{\sqrt{3}}{6} drwy luosi \frac{1}{2}\sqrt{3} â chilydd \frac{\sqrt{3}}{6}.

$$\frac{\frac{1}{2}\sqrt{3}\times 6}{\sqrt{3}}\sqrt{27}$$

Mae'n rhesymoli enwadur \frac{\frac{1}{2}\sqrt{3}\times 6}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$\frac{\frac{1}{2}\sqrt{3}\times 6\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\sqrt{27}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\frac{1}{2}\sqrt{3}\times 6\sqrt{3}}{3}\sqrt{27}$$

Lluosi \frac{1}{2} a 6 i gael \frac{6}{2}.

$$\frac{\frac{6}{2}\sqrt{3}\sqrt{3}}{3}\sqrt{27}$$

Rhannu 6 â 2 i gael 3.

$$\frac{3\sqrt{3}\sqrt{3}}{3}\sqrt{27}$$

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

$$\frac{3\times 3}{3}\sqrt{27}$$

Lluosi 3 a 3 i gael 9.

$$\frac{9}{3}\sqrt{27}$$

Rhannu 9 â 3 i gael 3.

$$3\sqrt{27}$$

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}.

$$3\times 3\sqrt{3}$$

Lluosi 3 a 3 i gael 9.

$$9\sqrt{3}$$