Issolvi {l}{sqrt{51+2^{2}+3^{2}}-sqrt{3^{2}+4^{2}}+sqrt{6^2+3^3+1^4}}{sqrt{5*4+2*3-1}:sqrt{6*4-9*2-5}+sqrt{3^2}}

$$\left. \begin{array} { l } { \sqrt { 51 + 2 ^ { 2 } + 3 ^ { 2 } } - \sqrt { 3 ^ { 2 } + 4 ^ { 2 } } + \sqrt { 6 ^ { 2 } + 3 ^ { 3 } + 1 ^ { 4 } } } \\ { \sqrt { 5 \cdot 4 + 2 \cdot 3 - 1 } : \sqrt { 6 \cdot 4 - 9 \cdot 2 - 5 } + \sqrt { 3 ^ { 2 } } } \end{array} \right.$$

Issortja

$$8,11$$

Passi tas-Soluzzjonijiet

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$sort(\sqrt{51+4+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 51 u 4 biex tikseb 55.

$$sort(\sqrt{55+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$sort(\sqrt{55+9}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 55 u 9 biex tikseb 64.

$$sort(\sqrt{64}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula l-għerq kwadrat ta' 64 u ikseb 8.

$$sort(8-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$sort(8-\sqrt{9+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$sort(8-\sqrt{9+16}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 9 u 16 biex tikseb 25.

$$sort(8-\sqrt{25}+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

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

$$sort(8-5+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Naqqas 5 minn 8 biex tikseb 3.

$$sort(3+\sqrt{6^{2}+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 6 bil-power ta' 2 u tikseb 36.

$$sort(3+\sqrt{36+3^{3}+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 3 bil-power ta' 3 u tikseb 27.

$$sort(3+\sqrt{36+27+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 36 u 27 biex tikseb 63.

$$sort(3+\sqrt{63+1^{4}},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula 1 bil-power ta' 4 u tikseb 1.

$$sort(3+\sqrt{63+1},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 63 u 1 biex tikseb 64.

$$sort(3+\sqrt{64},\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Ikkalkula l-għerq kwadrat ta' 64 u ikseb 8.

$$sort(3+8,\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 3 u 8 biex tikseb 11.

$$sort(11,\frac{\sqrt{5\times 4+2\times 3-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Immultiplika 5 u 4 biex tikseb 20. Immultiplika 2 u 3 biex tikseb 6.

$$sort(11,\frac{\sqrt{20+6-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Żid 20 u 6 biex tikseb 26.

$$sort(11,\frac{\sqrt{26-1}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Naqqas 1 minn 26 biex tikseb 25.

$$sort(11,\frac{\sqrt{25}}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

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

$$sort(11,\frac{5}{\sqrt{6\times 4-9\times 2-5}}+\sqrt{3^{2}})$$

Immultiplika 6 u 4 biex tikseb 24.

$$sort(11,\frac{5}{\sqrt{24-9\times 2-5}}+\sqrt{3^{2}})$$

Immultiplika 9 u 2 biex tikseb 18.

$$sort(11,\frac{5}{\sqrt{24-18-5}}+\sqrt{3^{2}})$$

Naqqas 18 minn 24 biex tikseb 6.

$$sort(11,\frac{5}{\sqrt{6-5}}+\sqrt{3^{2}})$$

Naqqas 5 minn 6 biex tikseb 1.

$$sort(11,\frac{5}{\sqrt{1}}+\sqrt{3^{2}})$$

Ikkalkula l-għerq kwadrat ta' 1 u ikseb 1.

$$sort(11,\frac{5}{1}+\sqrt{3^{2}})$$

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

$$sort(11,5+\sqrt{3^{2}})$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$sort(11,5+\sqrt{9})$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$sort(11,5+3)$$

Żid 5 u 3 biex tikseb 8.

$$sort(11,8)$$

Biex tirranġa l-lista, ibda minn element wieħed 11.

$$11$$

Daħħal 8 fil-post xieraq fil-lista l-ġdida.

$$8,11$$

Evalwa

$$11,\ 8$$