Răspuns: 4
Explicație pas cu pas:
[tex]\left[4,(6)+2,5\div\frac{3}{4}\right]\cdot\frac{1}{4}+2=\\=\left(\frac{46-4}{9}+\frac{{25}^{(5}}{10}\cdot\frac{4}{3}\right)\cdot\frac{1}{4}+2=\\=\left(\frac{{42}^{(3}}{9}+\frac{5}{2}\cdot\frac{4}{3}\right)\cdot\frac{1}{4}+2=\\=\left(\frac{14}{3}+\frac{5\cdot4}{2\cdot3}\right)\cdot\frac{1}{4}+2=\\=\left(\frac{^{2)}14}{3}+\frac{20}{6}\right)\cdot\frac{1}{4}+2=\\=\left(\frac{28}{6}+\frac{20}{6}\right)\cdot\frac{1}{4}+2=\\=\frac{48}{6}\cdot\frac{1}{4}+2=\\=8\cdot\frac{1}{4}+2=\\=\frac{8}{4}+2=\\[/tex]
[tex]=2+2=\boxed{\bold{4}}[/tex]
