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

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

Evalwa

$$\frac{19000\sqrt{391161}}{391161}\approx 30.379164608$$

Passi tas-Soluzzjonijiet

Żid 2.1 u 3.26 biex tikseb 5.36.

$$\frac{380}{\sqrt{\frac{5.36^{2}}{0.2}+3.58^{2}}}$$

Ikkalkula 5.36 bil-power ta' 2 u tikseb 28.7296.

$$\frac{380}{\sqrt{\frac{28.7296}{0.2}+3.58^{2}}}$$

Espandi \frac{28.7296}{0.2} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$\frac{380}{\sqrt{\frac{287296}{2000}+3.58^{2}}}$$

Naqqas il-frazzjoni \frac{287296}{2000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 16.

$$\frac{380}{\sqrt{\frac{17956}{125}+3.58^{2}}}$$

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

$$\frac{380}{\sqrt{\frac{17956}{125}+12.8164}}$$

Żid \frac{17956}{125} u 12.8164 biex tikseb \frac{391161}{2500}.

$$\frac{380}{\sqrt{\frac{391161}{2500}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{391161}{2500}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{391161}}{\sqrt{2500}}.

$$\frac{380}{\frac{\sqrt{391161}}{\sqrt{2500}}}$$

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

$$\frac{380}{\frac{\sqrt{391161}}{50}}$$

Iddividi 380 b'\frac{\sqrt{391161}}{50} billi timmultiplika 380 bir-reċiproku ta' \frac{\sqrt{391161}}{50}.

$$\frac{380\times 50}{\sqrt{391161}}$$

Irrazzjonalizza d-denominatur tal-\frac{380\times 50}{\sqrt{391161}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{391161}.

$$\frac{380\times 50\sqrt{391161}}{\left(\sqrt{391161}\right)^{2}}$$

Il-kwadrat ta' \sqrt{391161} huwa 391161.

$$\frac{380\times 50\sqrt{391161}}{391161}$$

Immultiplika 380 u 50 biex tikseb 19000.

$$\frac{19000\sqrt{391161}}{391161}$$