Datrys sqrt{[(1.3)^{2}-(0.7)^{2}+3.2]^2:11^2*5+[(2.8)^2-0.23]*10^2}

$$\sqrt { [ ( 1.3 ) ^ { 2 } - ( 0.7 ) ^ { 2 } + 3.2 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 2.8 ) ^ { 2 } - 0.23 ] \cdot 10 ^ { 2 } }$$

Enrhifo

$$\frac{\sqrt{19045}}{5}\approx 27.600724628$$

Camau Ateb

Cyfrifo 1.3 i bŵer 2 a chael 1.69.

$$\sqrt{\frac{\left(1.69-0.7^{2}+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Cyfrifo 0.7 i bŵer 2 a chael 0.49.

$$\sqrt{\frac{\left(1.69-0.49+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tynnu 0.49 o 1.69 i gael 1.2.

$$\sqrt{\frac{\left(1.2+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Adio 1.2 a 3.2 i gael 4.4.

$$\sqrt{\frac{4.4^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Cyfrifo 4.4 i bŵer 2 a chael 19.36.

$$\sqrt{\frac{19.36}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Cyfrifo 11 i bŵer 2 a chael 121.

$$\sqrt{\frac{19.36}{121}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Ehangu \frac{19.36}{121} drwy luosi'r rhifiadur a'r enwadur gyda 100.

$$\sqrt{\frac{1936}{12100}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Lleihau'r ffracsiwn \frac{1936}{12100} i'r graddau lleiaf posib drwy dynnu a chanslo allan 484.

$$\sqrt{\frac{4}{25}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

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

$$\sqrt{\frac{4}{5}+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Cyfrifo 2.8 i bŵer 2 a chael 7.84.

$$\sqrt{\frac{4}{5}+\left(7.84-0.23\right)\times 10^{2}}$$

Tynnu 0.23 o 7.84 i gael 7.61.

$$\sqrt{\frac{4}{5}+7.61\times 10^{2}}$$

Cyfrifo 10 i bŵer 2 a chael 100.

$$\sqrt{\frac{4}{5}+7.61\times 100}$$

Lluosi 7.61 a 100 i gael 761.

$$\sqrt{\frac{4}{5}+761}$$

Adio \frac{4}{5} a 761 i gael \frac{3809}{5}.

$$\sqrt{\frac{3809}{5}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{3809}{5}} fel rhaniad ail israddau \frac{\sqrt{3809}}{\sqrt{5}}.

$$\frac{\sqrt{3809}}{\sqrt{5}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{3809}}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$\frac{\sqrt{3809}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{\sqrt{3809}\sqrt{5}}{5}$$

I luosi \sqrt{3809} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{19045}}{5}$$