Issolvi 5/51^22x25sqrt{8%539+3}

$$\frac{ 5 }{ { 51 }^{ 2 } 2x25 \sqrt{ 8 \% 539+3 } }$$

Evalwa

$$\frac{25\sqrt{1153}}{5997906x_{25}}$$

Passi Qosra tas-Soluzzjonijiet

Ikkalkula 51 bil-power ta' 2 u tikseb 2601.

$$\frac{5}{2\times 2601x_{25}\sqrt{\frac{8}{100}\times 539+3}}$$

Immultiplika 2 u 2601 biex tikseb 5202.

$$\frac{5}{5202x_{25}\sqrt{\frac{8}{100}\times 539+3}}$$

Naqqas il-frazzjoni \frac{8}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{5}{5202x_{25}\sqrt{\frac{2}{25}\times 539+3}}$$

Esprimi \frac{2}{25}\times 539 bħala frazzjoni waħda.

$$\frac{5}{5202x_{25}\sqrt{\frac{2\times 539}{25}+3}}$$

Immultiplika 2 u 539 biex tikseb 1078.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078}{25}+3}}$$

Ikkonverti 3 fi frazzjoni \frac{75}{25}.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078}{25}+\frac{75}{25}}}$$

Billi \frac{1078}{25} u \frac{75}{25} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{5}{5202x_{25}\sqrt{\frac{1078+75}{25}}}$$

Żid 1078 u 75 biex tikseb 1153.

$$\frac{5}{5202x_{25}\sqrt{\frac{1153}{25}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1153}{25}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1153}}{\sqrt{25}}.

$$\frac{5}{5202x_{25}\times \frac{\sqrt{1153}}{\sqrt{25}}}$$

Ikkalkula l-għerq kwadrat ta' 25 u ikseb 5.

$$\frac{5}{5202x_{25}\times \frac{\sqrt{1153}}{5}}$$

Esprimi 5202\times \frac{\sqrt{1153}}{5} bħala frazzjoni waħda.

$$\frac{5}{\frac{5202\sqrt{1153}}{5}x_{25}}$$

Esprimi \frac{5202\sqrt{1153}}{5}x_{25} bħala frazzjoni waħda.

$$\frac{5}{\frac{5202\sqrt{1153}x_{25}}{5}}$$

Iddividi 5 b'\frac{5202\sqrt{1153}x_{25}}{5} billi timmultiplika 5 bir-reċiproku ta' \frac{5202\sqrt{1153}x_{25}}{5}.

$$\frac{5\times 5}{5202\sqrt{1153}x_{25}}$$

Irrazzjonalizza d-denominatur tal-\frac{5\times 5}{5202\sqrt{1153}x_{25}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1153}.

$$\frac{5\times 5\sqrt{1153}}{5202\left(\sqrt{1153}\right)^{2}x_{25}}$$

Il-kwadrat ta' \sqrt{1153} huwa 1153.

$$\frac{5\times 5\sqrt{1153}}{5202\times 1153x_{25}}$$

Immultiplika 5 u 5 biex tikseb 25.

$$\frac{25\sqrt{1153}}{5202\times 1153x_{25}}$$

Immultiplika 5202 u 1153 biex tikseb 5997906.

$$\frac{25\sqrt{1153}}{5997906x_{25}}$$

Iddifferenzja w.r.t. x_25

$$-\frac{25\sqrt{1153}}{5997906x_{25}^{2}}$$