Datrys sqrt{{8/3-1/2-[(1+1/3)^2:4/3+frac{1}{5}]*frac{5}{46}+(2-frac{1}{4})}:frac{3}{5}}

$$\sqrt { \{ \frac { 8 } { 3 } - \frac { 1 } { 2 } - [ ( 1 + \frac { 1 } { 3 } ) ^ { 2 } : \frac { 4 } { 3 } + \frac { 1 } { 5 } ] \times \frac { 5 } { 46 } + ( 2 - \frac { 1 } { 4 } ) \} : \frac { 3 } { 5 } }$$

Enrhifo

$$\frac{5}{2}=2.5$$

Camau Ateb

Tynnu \frac{1}{2} o \frac{8}{3} i gael \frac{13}{6}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(1+\frac{1}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Adio 1 a \frac{1}{3} i gael \frac{4}{3}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(\frac{4}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Cyfrifo \frac{4}{3} i bŵer 2 a chael \frac{16}{9}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\frac{16}{9}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Rhannwch \frac{16}{9} â \frac{4}{3} drwy luosi \frac{16}{9} â chilydd \frac{4}{3}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{16}{9}\times \frac{3}{4}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Lluosi \frac{16}{9} a \frac{3}{4} i gael \frac{4}{3}.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{4}{3}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Adio \frac{4}{3} a \frac{1}{5} i gael \frac{23}{15}.

$$\sqrt{\frac{\frac{13}{6}-\frac{23}{15}\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Lluosi \frac{23}{15} a \frac{5}{46} i gael \frac{1}{6}.

$$\sqrt{\frac{\frac{13}{6}-\frac{1}{6}+2-\frac{1}{4}}{\frac{3}{5}}}$$

Tynnu \frac{1}{6} o \frac{13}{6} i gael 2.

$$\sqrt{\frac{2+2-\frac{1}{4}}{\frac{3}{5}}}$$

Adio 2 a 2 i gael 4.

$$\sqrt{\frac{4-\frac{1}{4}}{\frac{3}{5}}}$$

Tynnu \frac{1}{4} o 4 i gael \frac{15}{4}.

$$\sqrt{\frac{\frac{15}{4}}{\frac{3}{5}}}$$

Rhannwch \frac{15}{4} â \frac{3}{5} drwy luosi \frac{15}{4} â chilydd \frac{3}{5}.

$$\sqrt{\frac{15}{4}\times \frac{5}{3}}$$

Lluosi \frac{15}{4} a \frac{5}{3} i gael \frac{25}{4}.

$$\sqrt{\frac{25}{4}}$$

Ailysgrifennu ail isradd y rhaniad \frac{25}{4} fel rhaniad ail israddau \frac{\sqrt{25}}{\sqrt{4}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{5}{2}$$

Ffactor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$