12
punti
Livello 0
2 + √((1 - 1/5)/((3/2 - 7/6/(4/5·10/3 + 2)) + (10 - 5/8/(25/24) + 3/5)·3))=
=2 + √(4/5/((3/2 - 7/6/(8/3 + 2)) + (10 - 3/5 + 3/5)·3))=
=2 + √(4/5/((3/2 - 7/6/(14/3)) + 10·3))=
=2 + √(4/5/((3/2 - 1/4) + 30))=
=2 + √(4/5/(5/4 + 30))=
=2 + √(4/5/(125/4))=
=2 + √(16/625)=
=2 + 4/25=
=54/25
90141
punti
Genius II
144)
$2+\sqrt{\big(1-\frac{1}{5}\big)÷\big\{\big[\frac{3}{2}-\frac{7}{6}÷\big(\frac{4}{5}·\frac{10}{3}+2\big)\big]+\big(10-\frac{5}{8}÷\frac{25}{24}+\frac{3}{5}\big)·\frac{1}{4}\big\}·3}=$
$=2+\sqrt{\big(\frac{5-1}{5}\big)÷\big\{\big[\frac{3}{2}-\frac{7}{6}÷\big(\frac{4}{1}·\frac{2}{3}+2\big)\big]+\big(10-\frac{5}{8}·\frac{24}{25}+\frac{3}{5}\big)·\frac{1}{4}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{7}{6}÷\big(\frac{8}{3}+2\big)\big]+\big(10-\frac{1}{1}·\frac{3}{5}+\frac{3}{5}\big)·\frac{1}{4}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{7}{6}÷\big(\frac{8+6}{3}\big)\big]+\big(10-\frac{3}{5}+\frac{3}{5}\big)·\frac{1}{4}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{7}{6}÷\frac{14}{3}\big]+10·\frac{1}{4}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{7}{6}·\frac{3}{14}\big]+5·\frac{1}{2}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{1}{2}·\frac{1}{2}\big]+\frac{5}{2}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{3}{2}-\frac{1}{4}\big]+\frac{5}{2}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\big[\frac{6-1}{4}\big]+\frac{5}{2}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\frac{5}{4}+\frac{5}{2}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\big\{\frac{5+10}{4}\big\}·3}=$
$=2+\sqrt{\frac{4}{5}÷\frac{15}{4}·3}=$
$=2+\sqrt{\frac{4}{5}·\frac{4}{15}·3}=$
$=2+\sqrt{\frac{4}{5}·\frac{4}{5}·1}=$
$=2+\sqrt{\frac{16}{25}}=$
$=2+\frac{4}{5}=$
$=\frac{10+4}{5}=$
$=\dfrac{14}{5}$
54311
punti
Genius I