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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Iddividi 6411 b'\frac{3131}{\frac{313161}{61213}} billi timmultiplika 6411 bir-reċiproku ta' \frac{3131}{\frac{313161}{61213}}.

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

Esprimi 6411\times \frac{313161}{61213} bħala frazzjoni waħda.

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

Immultiplika 6411 u 313161 biex tikseb 2007675171.

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

Esprimi \frac{\frac{2007675171}{61213}}{3131} bħala frazzjoni waħda.

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

Immultiplika 61213 u 3131 biex tikseb 191657903.

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

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2007675171}{191657903}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2007675171}}{\sqrt{191657903}}.

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

Iffattura 2007675171=3^{2}\times 223075019. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 223075019} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{223075019}. Ħu l-għerq kwadrat ta' 3^{2}.

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

Irrazzjonalizza d-denominatur tal-\frac{3\sqrt{223075019}}{\sqrt{191657903}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{191657903}.

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

Il-kwadrat ta' \sqrt{191657903} huwa 191657903.

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

Biex timmultiplika \sqrt{223075019} u \sqrt{191657903}, immultiplika n-numri taħt l-għerq kwadrat.

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