Datrys 1000/sqrt{frac{500{72}+2500/2017div2}}

$$\frac{ 1000 }{ \sqrt{ \frac{ 500 }{ 72 } + \frac{ 2500 }{ 2017 \div 2 } } }$$

Enrhifo

$$\frac{120\sqrt{55205290}}{2737}\approx 325.759280011$$

Camau Ateb

Lleihau'r ffracsiwn \frac{500}{72} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{1000}{\sqrt{\frac{125}{18}+\frac{2500}{\frac{2017}{2}}}}$$

Rhannwch 2500 â \frac{2017}{2} drwy luosi 2500 â chilydd \frac{2017}{2}.

$$\frac{1000}{\sqrt{\frac{125}{18}+2500\times \frac{2}{2017}}}$$

Mynegwch 2500\times \frac{2}{2017} fel ffracsiwn unigol.

$$\frac{1000}{\sqrt{\frac{125}{18}+\frac{2500\times 2}{2017}}}$$

Lluosi 2500 a 2 i gael 5000.

$$\frac{1000}{\sqrt{\frac{125}{18}+\frac{5000}{2017}}}$$

Lluosrif lleiaf cyffredin 18 a 2017 yw 36306. Troswch \frac{125}{18} a \frac{5000}{2017} yn ffracsiynau gyda’r enwadur 36306.

$$\frac{1000}{\sqrt{\frac{252125}{36306}+\frac{90000}{36306}}}$$

Gan fod gan \frac{252125}{36306} a \frac{90000}{36306} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{1000}{\sqrt{\frac{252125+90000}{36306}}}$$

Adio 252125 a 90000 i gael 342125.

$$\frac{1000}{\sqrt{\frac{342125}{36306}}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{342125}{36306}} fel rhaniad ail israddau \frac{\sqrt{342125}}{\sqrt{36306}}.

$$\frac{1000}{\frac{\sqrt{342125}}{\sqrt{36306}}}$$

Ffactora 342125=5^{2}\times 13685. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 13685} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{13685}. Cymryd isradd 5^{2}.

$$\frac{1000}{\frac{5\sqrt{13685}}{\sqrt{36306}}}$$

Ffactora 36306=3^{2}\times 4034. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 4034} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{4034}. Cymryd isradd 3^{2}.

$$\frac{1000}{\frac{5\sqrt{13685}}{3\sqrt{4034}}}$$

Mae'n rhesymoli enwadur \frac{5\sqrt{13685}}{3\sqrt{4034}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{4034}.

$$\frac{1000}{\frac{5\sqrt{13685}\sqrt{4034}}{3\left(\sqrt{4034}\right)^{2}}}$$

Sgwâr \sqrt{4034} yw 4034.

$$\frac{1000}{\frac{5\sqrt{13685}\sqrt{4034}}{3\times 4034}}$$

I luosi \sqrt{13685} a \sqrt{4034}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{1000}{\frac{5\sqrt{55205290}}{3\times 4034}}$$

Lluosi 3 a 4034 i gael 12102.

$$\frac{1000}{\frac{5\sqrt{55205290}}{12102}}$$

Rhannwch 1000 â \frac{5\sqrt{55205290}}{12102} drwy luosi 1000 â chilydd \frac{5\sqrt{55205290}}{12102}.

$$\frac{1000\times 12102}{5\sqrt{55205290}}$$

Canslo 5 yn y rhifiadur a'r enwadur.

$$\frac{200\times 12102}{\sqrt{55205290}}$$

Mae'n rhesymoli enwadur \frac{200\times 12102}{\sqrt{55205290}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{55205290}.

$$\frac{200\times 12102\sqrt{55205290}}{\left(\sqrt{55205290}\right)^{2}}$$

Sgwâr \sqrt{55205290} yw 55205290.

$$\frac{200\times 12102\sqrt{55205290}}{55205290}$$

Lluosi 200 a 12102 i gael 2420400.

$$\frac{2420400\sqrt{55205290}}{55205290}$$

Rhannu 2420400\sqrt{55205290} â 55205290 i gael \frac{120}{2737}\sqrt{55205290}.

$$\frac{120}{2737}\sqrt{55205290}$$