Explicație pas cu pas:
[tex]\frac{3}{ \sqrt{2}} - \frac{ \sqrt{9} }{ \sqrt{32} } + \frac{ \sqrt{49} }{ \sqrt{8} } - \frac{ \sqrt{25} }{ \sqrt{2} } \\ = \frac{3 }{ \sqrt{2} } - \frac{3}{4 \sqrt{2} } + \frac{7}{2 \sqrt{2} } - \frac{5}{ \sqrt{2} } \\ = \frac{12}{4 \sqrt{2} } - \frac{3}{4 \sqrt{2} } + \frac{14}{4 \sqrt{2} } - \frac{20}{4 \sqrt{2} } \\ = \frac{12 - 3 + 14 - 20}{4 \sqrt{2} } \\ = \frac{3}{4 \sqrt{2} } = \frac{3 \sqrt{2} }{8} [/tex]
