Issolvi 380/sqrt{(frac{2.1+3.26{0.2})^2+3.58^2}}

$$\frac { 380 } { \sqrt { ( \frac { 2.1 + 3.26 } { 0.2 } ) ^ { 2 } + 3.58 ^ { 2 } } }$$

Evalwa

$$\frac{19000\sqrt{1827641}}{1827641}\approx 14.054265543$$

Passi tas-Soluzzjonijiet

Żid 2.1 u 3.26 biex tikseb 5.36.

$$\frac{380}{\sqrt{\left(\frac{5.36}{0.2}\right)^{2}+3.58^{2}}}$$

Espandi \frac{5.36}{0.2} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{380}{\sqrt{\left(\frac{536}{20}\right)^{2}+3.58^{2}}}$$

Naqqas il-frazzjoni \frac{536}{20} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{380}{\sqrt{\left(\frac{134}{5}\right)^{2}+3.58^{2}}}$$

Ikkalkula \frac{134}{5} bil-power ta' 2 u tikseb \frac{17956}{25}.

$$\frac{380}{\sqrt{\frac{17956}{25}+3.58^{2}}}$$

Ikkalkula 3.58 bil-power ta' 2 u tikseb 12.8164.

$$\frac{380}{\sqrt{\frac{17956}{25}+12.8164}}$$

Żid \frac{17956}{25} u 12.8164 biex tikseb \frac{1827641}{2500}.

$$\frac{380}{\sqrt{\frac{1827641}{2500}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1827641}{2500}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1827641}}{\sqrt{2500}}.

$$\frac{380}{\frac{\sqrt{1827641}}{\sqrt{2500}}}$$

Ikkalkula l-għerq kwadrat ta' 2500 u ikseb 50.

$$\frac{380}{\frac{\sqrt{1827641}}{50}}$$

Iddividi 380 b'\frac{\sqrt{1827641}}{50} billi timmultiplika 380 bir-reċiproku ta' \frac{\sqrt{1827641}}{50}.

$$\frac{380\times 50}{\sqrt{1827641}}$$

Irrazzjonalizza d-denominatur tal-\frac{380\times 50}{\sqrt{1827641}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1827641}.

$$\frac{380\times 50\sqrt{1827641}}{\left(\sqrt{1827641}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1827641} huwa 1827641.

$$\frac{380\times 50\sqrt{1827641}}{1827641}$$

Immultiplika 380 u 50 biex tikseb 19000.

$$\frac{19000\sqrt{1827641}}{1827641}$$