Datrys sqrt{1-12/25+60/169/2}

$$\sqrt { \frac { 1 - \frac { 12 } { 25 } + \frac { 60 } { 169 } } { 2 } }$$

Enrhifo

$$\frac{\sqrt{7394}}{130}\approx 0.66144901$$

Camau Ateb

Troswch y rhif degol 1 i’r ffracsiwn \frac{25}{25}.

$$\sqrt{\frac{\frac{25}{25}-\frac{12}{25}+\frac{60}{169}}{2}}$$

Gan fod gan \frac{25}{25} a \frac{12}{25} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\sqrt{\frac{\frac{25-12}{25}+\frac{60}{169}}{2}}$$

Tynnu 12 o 25 i gael 13.

$$\sqrt{\frac{\frac{13}{25}+\frac{60}{169}}{2}}$$

Lluosrif lleiaf cyffredin 25 a 169 yw 4225. Troswch \frac{13}{25} a \frac{60}{169} yn ffracsiynau gyda’r enwadur 4225.

$$\sqrt{\frac{\frac{2197}{4225}+\frac{1500}{4225}}{2}}$$

Gan fod gan \frac{2197}{4225} a \frac{1500}{4225} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{\frac{2197+1500}{4225}}{2}}$$

Adio 2197 a 1500 i gael 3697.

$$\sqrt{\frac{\frac{3697}{4225}}{2}}$$

Mynegwch \frac{\frac{3697}{4225}}{2} fel ffracsiwn unigol.

$$\sqrt{\frac{3697}{4225\times 2}}$$

Lluosi 4225 a 2 i gael 8450.

$$\sqrt{\frac{3697}{8450}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{3697}{8450}} fel rhaniad ail israddau \frac{\sqrt{3697}}{\sqrt{8450}}.

$$\frac{\sqrt{3697}}{\sqrt{8450}}$$

Ffactora 8450=65^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{65^{2}\times 2} fel lluoswm ail israddau \sqrt{65^{2}}\sqrt{2}. Cymryd isradd 65^{2}.

$$\frac{\sqrt{3697}}{65\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{3697}}{65\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{\sqrt{3697}\sqrt{2}}{65\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\sqrt{3697}\sqrt{2}}{65\times 2}$$

I luosi \sqrt{3697} a \sqrt{2}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{7394}}{65\times 2}$$

Lluosi 65 a 2 i gael 130.

$$\frac{\sqrt{7394}}{130}$$