Issolvi =32585-786*408/10/sqrt{[62280frac{786^2{10}][17412408^2/10]}}

$$= \frac { 32585 - \frac { 786 \times 408 } { 10 } } { \sqrt { [ 62280 \frac { 786 ^ { 2 } } { 10 } ] [ 17412 \frac { 408 ^ { 2 } } { 10 } ] } }$$

Evalwa

$$\frac{2581\sqrt{7530690}}{14490011488320}\approx 0.000000489$$

Passi tas-Soluzzjonijiet

Immultiplika 786 u 408 biex tikseb 320688.

$$\frac{32585-\frac{320688}{10}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Naqqas il-frazzjoni \frac{320688}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{32585-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Ikkonverti 32585 fi frazzjoni \frac{162925}{5}.

$$\frac{\frac{162925}{5}-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Billi \frac{162925}{5} u \frac{160344}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{162925-160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Naqqas 160344 minn 162925 biex tikseb 2581.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Ikkalkula 786 bil-power ta' 2 u tikseb 617796.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{617796}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Naqqas il-frazzjoni \frac{617796}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Esprimi 62280\times \frac{308898}{5} bħala frazzjoni waħda.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{62280\times 308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Immultiplika 62280 u 308898 biex tikseb 19238167440.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{19238167440}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Iddividi 19238167440 b'5 biex tikseb3847633488.

$$\frac{\frac{2581}{5}}{\sqrt{3847633488\times 17412\times \frac{408^{2}}{10}}}$$

Immultiplika 3847633488 u 17412 biex tikseb 66994994293056.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{408^{2}}{10}}}$$

Ikkalkula 408 bil-power ta' 2 u tikseb 166464.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{166464}{10}}}$$

Naqqas il-frazzjoni \frac{166464}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{83232}{5}}}$$

Esprimi 66994994293056\times \frac{83232}{5} bħala frazzjoni waħda.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{66994994293056\times 83232}{5}}}$$

Immultiplika 66994994293056 u 83232 biex tikseb 5576127364999636992.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{5576127364999636992}{5}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{5576127364999636992}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{5576127364999636992}}{\sqrt{5}}.

$$\frac{\frac{2581}{5}}{\frac{\sqrt{5576127364999636992}}{\sqrt{5}}}$$

Iffattura 5576127364999636992=1924128^{2}\times 1506138. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{1924128^{2}\times 1506138} bħala l-prodott tal-għeruq kwadrati \sqrt{1924128^{2}}\sqrt{1506138}. Ħu l-għerq kwadrat ta' 1924128^{2}.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}}{\sqrt{5}}}$$

Irrazzjonalizza d-denominatur tal-\frac{1924128\sqrt{1506138}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{5}}$$

Biex timmultiplika \sqrt{1506138} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{7530690}}{5}}$$

Iddividi \frac{2581}{5} b'\frac{1924128\sqrt{7530690}}{5} billi timmultiplika \frac{2581}{5} bir-reċiproku ta' \frac{1924128\sqrt{7530690}}{5}.

$$\frac{2581\times 5}{5\times 1924128\sqrt{7530690}}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{2581}{1924128\sqrt{7530690}}$$

Irrazzjonalizza d-denominatur tal-\frac{2581}{1924128\sqrt{7530690}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{7530690}.

$$\frac{2581\sqrt{7530690}}{1924128\left(\sqrt{7530690}\right)^{2}}$$

Il-kwadrat ta' \sqrt{7530690} huwa 7530690.

$$\frac{2581\sqrt{7530690}}{1924128\times 7530690}$$

Immultiplika 1924128 u 7530690 biex tikseb 14490011488320.

$$\frac{2581\sqrt{7530690}}{14490011488320}$$