Datrys sqrt{82+18+330+13+330+750+22/frac{1{82}+1/18+1/330+1/13+frac{1}{330}+frac{1}{750}+frac{1}{22}}}

$$\sqrt{ \frac{ 82+18+330+13+330+750+22 }{ \frac{ 1 }{ 82 } + \frac{ 1 }{ 18 } + \frac{ 1 }{ 330 } + \frac{ 1 }{ 13 } + \frac{ 1 }{ 330 } + \frac{ 1 }{ 750 } + \frac{ 1 }{ 22 } } }$$

Enrhifo

$$\frac{75\sqrt{147518608809}}{325708}\approx 88.441528893$$

Camau Ateb

Adio 82 a 18 i gael 100.

$$\sqrt{\frac{100+330+13+330+750+22}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 100 a 330 i gael 430.

$$\sqrt{\frac{430+13+330+750+22}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 430 a 13 i gael 443.

$$\sqrt{\frac{443+330+750+22}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 443 a 330 i gael 773.

$$\sqrt{\frac{773+750+22}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 773 a 750 i gael 1523.

$$\sqrt{\frac{1523+22}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 1523 a 22 i gael 1545.

$$\sqrt{\frac{1545}{\frac{1}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 82 a 18 yw 738. Troswch \frac{1}{82} a \frac{1}{18} yn ffracsiynau gyda’r enwadur 738.

$$\sqrt{\frac{1545}{\frac{9}{738}+\frac{41}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{9}{738} a \frac{41}{738} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{9+41}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 9 a 41 i gael 50.

$$\sqrt{\frac{1545}{\frac{50}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lleihau'r ffracsiwn \frac{50}{738} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1545}{\frac{25}{369}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 369 a 330 yw 40590. Troswch \frac{25}{369} a \frac{1}{330} yn ffracsiynau gyda’r enwadur 40590.

$$\sqrt{\frac{1545}{\frac{2750}{40590}+\frac{123}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{2750}{40590} a \frac{123}{40590} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{2750+123}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 2750 a 123 i gael 2873.

$$\sqrt{\frac{1545}{\frac{2873}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 40590 a 13 yw 527670. Troswch \frac{2873}{40590} a \frac{1}{13} yn ffracsiynau gyda’r enwadur 527670.

$$\sqrt{\frac{1545}{\frac{37349}{527670}+\frac{40590}{527670}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{37349}{527670} a \frac{40590}{527670} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{37349+40590}{527670}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 37349 a 40590 i gael 77939.

$$\sqrt{\frac{1545}{\frac{77939}{527670}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 527670 a 330 yw 527670. Troswch \frac{77939}{527670} a \frac{1}{330} yn ffracsiynau gyda’r enwadur 527670.

$$\sqrt{\frac{1545}{\frac{77939}{527670}+\frac{1599}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{77939}{527670} a \frac{1599}{527670} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{77939+1599}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 77939 a 1599 i gael 79538.

$$\sqrt{\frac{1545}{\frac{79538}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Lleihau'r ffracsiwn \frac{79538}{527670} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1545}{\frac{39769}{263835}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 263835 a 750 yw 13191750. Troswch \frac{39769}{263835} a \frac{1}{750} yn ffracsiynau gyda’r enwadur 13191750.

$$\sqrt{\frac{1545}{\frac{1988450}{13191750}+\frac{17589}{13191750}+\frac{1}{22}}}$$

Gan fod gan \frac{1988450}{13191750} a \frac{17589}{13191750} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{1988450+17589}{13191750}+\frac{1}{22}}}$$

Adio 1988450 a 17589 i gael 2006039.

$$\sqrt{\frac{1545}{\frac{2006039}{13191750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 13191750 a 22 yw 13191750. Troswch \frac{2006039}{13191750} a \frac{1}{22} yn ffracsiynau gyda’r enwadur 13191750.

$$\sqrt{\frac{1545}{\frac{2006039}{13191750}+\frac{599625}{13191750}}}$$

Gan fod gan \frac{2006039}{13191750} a \frac{599625}{13191750} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1545}{\frac{2006039+599625}{13191750}}}$$

Adio 2006039 a 599625 i gael 2605664.

$$\sqrt{\frac{1545}{\frac{2605664}{13191750}}}$$

Lleihau'r ffracsiwn \frac{2605664}{13191750} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1545}{\frac{1302832}{6595875}}}$$

Rhannwch 1545 â \frac{1302832}{6595875} drwy luosi 1545 â chilydd \frac{1302832}{6595875}.

$$\sqrt{1545\times \frac{6595875}{1302832}}$$

Mynegwch 1545\times \frac{6595875}{1302832} fel ffracsiwn unigol.

$$\sqrt{\frac{1545\times 6595875}{1302832}}$$

Lluosi 1545 a 6595875 i gael 10190626875.

$$\sqrt{\frac{10190626875}{1302832}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{10190626875}{1302832}} fel rhaniad ail israddau \frac{\sqrt{10190626875}}{\sqrt{1302832}}.

$$\frac{\sqrt{10190626875}}{\sqrt{1302832}}$$

Ffactora 10190626875=75^{2}\times 1811667. Ailysgrifennu ail isradd y lluoswm \sqrt{75^{2}\times 1811667} fel lluoswm ail israddau \sqrt{75^{2}}\sqrt{1811667}. Cymryd isradd 75^{2}.

$$\frac{75\sqrt{1811667}}{\sqrt{1302832}}$$

Ffactora 1302832=4^{2}\times 81427. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 81427} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{81427}. Cymryd isradd 4^{2}.

$$\frac{75\sqrt{1811667}}{4\sqrt{81427}}$$

Mae'n rhesymoli enwadur \frac{75\sqrt{1811667}}{4\sqrt{81427}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{81427}.

$$\frac{75\sqrt{1811667}\sqrt{81427}}{4\left(\sqrt{81427}\right)^{2}}$$

Sgwâr \sqrt{81427} yw 81427.

$$\frac{75\sqrt{1811667}\sqrt{81427}}{4\times 81427}$$

I luosi \sqrt{1811667} a \sqrt{81427}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{75\sqrt{147518608809}}{4\times 81427}$$

Lluosi 4 a 81427 i gael 325708.

$$\frac{75\sqrt{147518608809}}{325708}$$