Explicație pas cu pas:
Simplificăm expresia și scoatem factori de sub radical
[tex]( \frac{2 \sqrt{5} }{3 \sqrt{2} } + \frac{3}{ \sqrt{10} } - \frac{5 \sqrt{5} }{ {2}^{2} \sqrt{2} }) \times \frac{30 \sqrt{2} }{5 \sqrt{5} } {( \frac{5}{2}) }^{2} [/tex]
[tex]( \frac{2 \sqrt{5} }{3 \sqrt{2} } + \frac{3}{ \sqrt{10} } - \frac{5 \sqrt{5} }{4 \sqrt{2} }) \times \frac{30 \sqrt{2} }{5 \sqrt{5} } \times \frac{25}{4} [/tex]
simplificăm si rationalizam
[tex]( \frac{ - 7 \sqrt{5} }{12 \sqrt{2 } } + \frac{3 \sqrt{10} }{10}) \times \frac{15 \sqrt{2} }{5 \sqrt{5} } \times \frac{25}{2} [/tex]
simplificăm fractia prin 5
[tex]( \frac{ - 7 \sqrt{10} }{24} + \frac{3 \sqrt{10} }{10} ) \times \frac{3 \sqrt{2} }{ \sqrt{5} } \times \frac{25}{2} [/tex]
[tex] \frac{ \sqrt{10} }{120} \times \frac{3 \sqrt{2} }{ \sqrt{5} } \times \frac{25}{2} [/tex]
[tex] \frac{ \sqrt{2} }{40} \times \sqrt{2} \times \frac{25}{2} [/tex]
[tex] \frac{ \sqrt{2} }{8} \times \sqrt{2} \times \frac{5}{2} [/tex]
[tex] \frac{10}{16} [/tex]
[tex] \frac{5}{8} [/tex]
Sper că te-am ajutat
