Datrys sqrt{{[(2/3+1/2)-1/6]^2}^3+1-(2/3+frac{7}{6}+frac{2}{12})+[15*(frac{1}{3}+frac{1}{5})]^2}

$$\sqrt { \{ [ ( \frac { 2 } { 3 } + \frac { 1 } { 2 } ) - \frac { 1 } { 6 } ] ^ { 2 } \} ^ { 3 } + 1 - ( \frac { 2 } { 3 } + \frac { 7 } { 6 } + \frac { 2 } { 12 } ) + [ 15 \times ( \frac { 1 } { 3 } + \frac { 1 } { 5 } ) ] ^ { 2 } }$$

Enrhifo

$$8$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 2 a 3 i gael 6.

$$\sqrt{\left(\frac{2}{3}+\frac{1}{2}-\frac{1}{6}\right)^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Adio \frac{2}{3} a \frac{1}{2} i gael \frac{7}{6}.

$$\sqrt{\left(\frac{7}{6}-\frac{1}{6}\right)^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Tynnu \frac{1}{6} o \frac{7}{6} i gael 1.

$$\sqrt{1^{6}+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Cyfrifo 1 i bŵer 6 a chael 1.

$$\sqrt{1+1-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Adio 1 a 1 i gael 2.

$$\sqrt{2-\left(\frac{2}{3}+\frac{7}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Adio \frac{2}{3} a \frac{7}{6} i gael \frac{11}{6}.

$$\sqrt{2-\left(\frac{11}{6}+\frac{2}{12}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Lleihau'r ffracsiwn \frac{2}{12} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{2-\left(\frac{11}{6}+\frac{1}{6}\right)+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Adio \frac{11}{6} a \frac{1}{6} i gael 2.

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

Tynnu 2 o 2 i gael 0.

$$\sqrt{0+\left(15\left(\frac{1}{3}+\frac{1}{5}\right)\right)^{2}}$$

Adio \frac{1}{3} a \frac{1}{5} i gael \frac{8}{15}.

$$\sqrt{0+\left(15\times \frac{8}{15}\right)^{2}}$$

Lluosi 15 a \frac{8}{15} i gael 8.

$$\sqrt{0+8^{2}}$$

Cyfrifo 8 i bŵer 2 a chael 64.

$$\sqrt{0+64}$$

Adio 0 a 64 i gael 64.

$$\sqrt{64}$$

Cyfrifo ail isradd 64 a chael 8.

$$8$$

Ffactor

$$2^{3}$$