Datrys sqrt{6411/3131{frac{313161/61213}}}

$$\sqrt{ \frac{ 6411 }{ \frac{ 3131 }{ \frac{ 313161 }{ 61213 } } } }$$

Enrhifo

$$\frac{3\sqrt{42754090353225157}}{191657903}\approx 3.236557731$$

Camau Ateb

Rhannwch 6411 â \frac{3131}{\frac{313161}{61213}} drwy luosi 6411 â chilydd \frac{3131}{\frac{313161}{61213}}.

$$\sqrt{\frac{6411\times \frac{313161}{61213}}{3131}}$$

Mynegwch 6411\times \frac{313161}{61213} fel ffracsiwn unigol.

$$\sqrt{\frac{\frac{6411\times 313161}{61213}}{3131}}$$

Lluosi 6411 a 313161 i gael 2007675171.

$$\sqrt{\frac{\frac{2007675171}{61213}}{3131}}$$

Mynegwch \frac{\frac{2007675171}{61213}}{3131} fel ffracsiwn unigol.

$$\sqrt{\frac{2007675171}{61213\times 3131}}$$

Lluosi 61213 a 3131 i gael 191657903.

$$\sqrt{\frac{2007675171}{191657903}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{2007675171}{191657903}} fel rhaniad ail israddau \frac{\sqrt{2007675171}}{\sqrt{191657903}}.

$$\frac{\sqrt{2007675171}}{\sqrt{191657903}}$$

Ffactora 2007675171=3^{2}\times 223075019. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 223075019} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{223075019}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{223075019}}{\sqrt{191657903}}$$

Mae'n rhesymoli enwadur \frac{3\sqrt{223075019}}{\sqrt{191657903}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{191657903}.

$$\frac{3\sqrt{223075019}\sqrt{191657903}}{\left(\sqrt{191657903}\right)^{2}}$$

Sgwâr \sqrt{191657903} yw 191657903.

$$\frac{3\sqrt{223075019}\sqrt{191657903}}{191657903}$$

I luosi \sqrt{223075019} a \sqrt{191657903}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{3\sqrt{42754090353225157}}{191657903}$$