Datrys sqrt{(8/13)^2-(2/13)^2}

$$\sqrt { ( \frac { 8 } { 13 } ) ^ { 2 } - ( \frac { 2 } { 13 } ) ^ { 2 } }$$

Enrhifo

$$\frac{2\sqrt{15}}{13}\approx 0.595843592$$

Camau Ateb

Cyfrifo \frac{8}{13} i bŵer 2 a chael \frac{64}{169}.

$$\sqrt{\frac{64}{169}-\left(\frac{2}{13}\right)^{2}}$$

Cyfrifo \frac{2}{13} i bŵer 2 a chael \frac{4}{169}.

$$\sqrt{\frac{64}{169}-\frac{4}{169}}$$

Gan fod gan \frac{64}{169} a \frac{4}{169} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\sqrt{\frac{64-4}{169}}$$

Tynnu 4 o 64 i gael 60.

$$\sqrt{\frac{60}{169}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{60}{169}} fel rhaniad ail israddau \frac{\sqrt{60}}{\sqrt{169}}.

$$\frac{\sqrt{60}}{\sqrt{169}}$$

Ffactora 60=2^{2}\times 15. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 15} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{15}. Cymryd isradd 2^{2}.

$$\frac{2\sqrt{15}}{\sqrt{169}}$$

Cyfrifo ail isradd 169 a chael 13.

$$\frac{2\sqrt{15}}{13}$$