Datrys sqrt{8.2+18+330+13+330+750+22/frac{1{8.2}+1/18+1/330+1/13+frac{1}{330}+frac{1}{750}+frac{1}{22}}}

$$\sqrt{ \frac{ 8.2+18+330+13+330+750+22 }{ \frac{ 1 }{ 8.2 } + \frac{ 1 }{ 18 } + \frac{ 1 }{ 330 } + \frac{ 1 }{ 13 } + \frac{ 1 }{ 330 } + \frac{ 1 }{ 750 } + \frac{ 1 }{ 22 } } }$$

Enrhifo

$$\frac{30\sqrt{87410977099446}}{4053539}\approx 69.194230882$$

Camau Ateb

Adio 8.2 a 18 i gael 26.2.

$$\sqrt{\frac{26.2+330+13+330+750+22}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 26.2 a 330 i gael 356.2.

$$\sqrt{\frac{356.2+13+330+750+22}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 356.2 a 13 i gael 369.2.

$$\sqrt{\frac{369.2+330+750+22}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 369.2 a 330 i gael 699.2.

$$\sqrt{\frac{699.2+750+22}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 699.2 a 750 i gael 1449.2.

$$\sqrt{\frac{1449.2+22}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 1449.2 a 22 i gael 1471.2.

$$\sqrt{\frac{1471.2}{\frac{1}{8.2}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Ehangu \frac{1}{8.2} drwy luosi'r rhifiadur a'r enwadur gyda 10.

$$\sqrt{\frac{1471.2}{\frac{10}{82}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lleihau'r ffracsiwn \frac{10}{82} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1471.2}{\frac{5}{41}+\frac{1}{18}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 41 a 18 yw 738. Troswch \frac{5}{41} a \frac{1}{18} yn ffracsiynau gyda’r enwadur 738.

$$\sqrt{\frac{1471.2}{\frac{90}{738}+\frac{41}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{90}{738} a \frac{41}{738} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{90+41}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 90 a 41 i gael 131.

$$\sqrt{\frac{1471.2}{\frac{131}{738}+\frac{1}{330}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 738 a 330 yw 40590. Troswch \frac{131}{738} a \frac{1}{330} yn ffracsiynau gyda’r enwadur 40590.

$$\sqrt{\frac{1471.2}{\frac{7205}{40590}+\frac{123}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{7205}{40590} a \frac{123}{40590} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{7205+123}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 7205 a 123 i gael 7328.

$$\sqrt{\frac{1471.2}{\frac{7328}{40590}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lleihau'r ffracsiwn \frac{7328}{40590} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1471.2}{\frac{3664}{20295}+\frac{1}{13}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 20295 a 13 yw 263835. Troswch \frac{3664}{20295} a \frac{1}{13} yn ffracsiynau gyda’r enwadur 263835.

$$\sqrt{\frac{1471.2}{\frac{47632}{263835}+\frac{20295}{263835}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{47632}{263835} a \frac{20295}{263835} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{47632+20295}{263835}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 47632 a 20295 i gael 67927.

$$\sqrt{\frac{1471.2}{\frac{67927}{263835}+\frac{1}{330}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 263835 a 330 yw 527670. Troswch \frac{67927}{263835} a \frac{1}{330} yn ffracsiynau gyda’r enwadur 527670.

$$\sqrt{\frac{1471.2}{\frac{135854}{527670}+\frac{1599}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Gan fod gan \frac{135854}{527670} a \frac{1599}{527670} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{135854+1599}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Adio 135854 a 1599 i gael 137453.

$$\sqrt{\frac{1471.2}{\frac{137453}{527670}+\frac{1}{750}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 527670 a 750 yw 13191750. Troswch \frac{137453}{527670} a \frac{1}{750} yn ffracsiynau gyda’r enwadur 13191750.

$$\sqrt{\frac{1471.2}{\frac{3436325}{13191750}+\frac{17589}{13191750}+\frac{1}{22}}}$$

Gan fod gan \frac{3436325}{13191750} a \frac{17589}{13191750} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{3436325+17589}{13191750}+\frac{1}{22}}}$$

Adio 3436325 a 17589 i gael 3453914.

$$\sqrt{\frac{1471.2}{\frac{3453914}{13191750}+\frac{1}{22}}}$$

Lleihau'r ffracsiwn \frac{3453914}{13191750} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{1471.2}{\frac{1726957}{6595875}+\frac{1}{22}}}$$

Lluosrif lleiaf cyffredin 6595875 a 22 yw 13191750. Troswch \frac{1726957}{6595875} a \frac{1}{22} yn ffracsiynau gyda’r enwadur 13191750.

$$\sqrt{\frac{1471.2}{\frac{3453914}{13191750}+\frac{599625}{13191750}}}$$

Gan fod gan \frac{3453914}{13191750} a \frac{599625}{13191750} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{1471.2}{\frac{3453914+599625}{13191750}}}$$

Adio 3453914 a 599625 i gael 4053539.

$$\sqrt{\frac{1471.2}{\frac{4053539}{13191750}}}$$

Rhannwch 1471.2 â \frac{4053539}{13191750} drwy luosi 1471.2 â chilydd \frac{4053539}{13191750}.

$$\sqrt{1471.2\times \frac{13191750}{4053539}}$$

Troswch y rhif degol 1471.2 i’r ffracsiwn \frac{14712}{10}. Lleihau'r ffracsiwn \frac{14712}{10} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\sqrt{\frac{7356}{5}\times \frac{13191750}{4053539}}$$

Lluoswch \frac{7356}{5} â \frac{13191750}{4053539} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\sqrt{\frac{7356\times 13191750}{5\times 4053539}}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{7356\times 13191750}{5\times 4053539}.

$$\sqrt{\frac{97038513000}{20267695}}$$

Lleihau'r ffracsiwn \frac{97038513000}{20267695} i'r graddau lleiaf posib drwy dynnu a chanslo allan 5.

$$\sqrt{\frac{19407702600}{4053539}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{19407702600}{4053539}} fel rhaniad ail israddau \frac{\sqrt{19407702600}}{\sqrt{4053539}}.

$$\frac{\sqrt{19407702600}}{\sqrt{4053539}}$$

Ffactora 19407702600=30^{2}\times 21564114. Ailysgrifennu ail isradd y lluoswm \sqrt{30^{2}\times 21564114} fel lluoswm ail israddau \sqrt{30^{2}}\sqrt{21564114}. Cymryd isradd 30^{2}.

$$\frac{30\sqrt{21564114}}{\sqrt{4053539}}$$

Mae'n rhesymoli enwadur \frac{30\sqrt{21564114}}{\sqrt{4053539}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{4053539}.

$$\frac{30\sqrt{21564114}\sqrt{4053539}}{\left(\sqrt{4053539}\right)^{2}}$$

Sgwâr \sqrt{4053539} yw 4053539.

$$\frac{30\sqrt{21564114}\sqrt{4053539}}{4053539}$$

I luosi \sqrt{21564114} a \sqrt{4053539}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{30\sqrt{87410977099446}}{4053539}$$