Datrys sqrt[5]{frac{1/32}:(2/3)^-1}{(1-1/3)2/4+frac{1}{2}}+frac{sqrt{1-frac{16}{25}}}{frac{4}{5}:(frac{15}{2})^1}=

$$\frac { \sqrt[ 5 ] { \frac { 1 } { 32 } } : ( \frac { 2 } { 3 } ) ^ { - 1 } } { ( 1 - \frac { 1 } { 3 } ) \frac { 2 } { 4 } + \frac { 1 } { 2 } } + \frac { \sqrt { 1 - \frac { 16 } { 25 } } } { \frac { 4 } { 5 } : ( \frac { 15 } { 2 } ) ^ { 1 } } =$$

Enrhifo

$$\frac{241}{40}=6.025$$

Camau Ateb

Cyfrifo \sqrt[5]{\frac{1}{32}} a chael \frac{1}{2}.

$$\frac{\frac{\frac{1}{2}}{\left(\frac{2}{3}\right)^{-1}}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Cyfrifo \frac{2}{3} i bŵer -1 a chael \frac{3}{2}.

$$\frac{\frac{\frac{1}{2}}{\frac{3}{2}}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{2}\times \frac{2}{3}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi \frac{1}{2} a \frac{2}{3} i gael \frac{1}{3}.

$$\frac{\frac{1}{3}}{\left(1-\frac{1}{3}\right)\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

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

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{2}{4}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lleihau'r ffracsiwn \frac{2}{4} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{\frac{1}{3}}{\frac{2}{3}\times \frac{1}{2}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi \frac{2}{3} a \frac{1}{2} i gael \frac{1}{3}.

$$\frac{\frac{1}{3}}{\frac{1}{3}+\frac{1}{2}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Adio \frac{1}{3} a \frac{1}{2} i gael \frac{5}{6}.

$$\frac{\frac{1}{3}}{\frac{5}{6}}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Rhannwch \frac{1}{3} â \frac{5}{6} drwy luosi \frac{1}{3} â chilydd \frac{5}{6}.

$$\frac{1}{3}\times \frac{6}{5}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Lluosi \frac{1}{3} a \frac{6}{5} i gael \frac{2}{5}.

$$\frac{2}{5}+\frac{\sqrt{1-\frac{16}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Tynnu \frac{16}{25} o 1 i gael \frac{9}{25}.

$$\frac{2}{5}+\frac{\sqrt{\frac{9}{25}}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Ailysgrifennu ail isradd y rhaniad \frac{9}{25} fel rhaniad ail israddau \frac{\sqrt{9}}{\sqrt{25}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\left(\frac{15}{2}\right)^{1}}}$$

Cyfrifo \frac{15}{2} i bŵer 1 a chael \frac{15}{2}.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{\frac{4}{5}}{\frac{15}{2}}}$$

Rhannwch \frac{4}{5} â \frac{15}{2} drwy luosi \frac{4}{5} â chilydd \frac{15}{2}.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{4}{5}\times \frac{2}{15}}$$

Lluosi \frac{4}{5} a \frac{2}{15} i gael \frac{8}{75}.

$$\frac{2}{5}+\frac{\frac{3}{5}}{\frac{8}{75}}$$

Rhannwch \frac{3}{5} â \frac{8}{75} drwy luosi \frac{3}{5} â chilydd \frac{8}{75}.

$$\frac{2}{5}+\frac{3}{5}\times \frac{75}{8}$$

Lluosi \frac{3}{5} a \frac{75}{8} i gael \frac{45}{8}.

$$\frac{2}{5}+\frac{45}{8}$$

Adio \frac{2}{5} a \frac{45}{8} i gael \frac{241}{40}.

$$\frac{241}{40}$$

Ffactor

$$\frac{241}{2 ^ {3} \cdot 5} = 6\frac{1}{40} = 6.025$$