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Efectuați calculele:​

Efectuați Calculele class=

Răspuns :

Explicație pas cu pas:

a)

[tex] \frac{2}{ \sqrt{10} } + \frac{5 \sqrt{2} }{2 \sqrt{5} } - ( \frac{2 \sqrt{5} }{ \sqrt{8} } + \frac{5 \sqrt{2} }{125} )[/tex]

[tex] \frac{ \sqrt{10} }{5} + \frac{ \sqrt{10} }{2} - ( \frac{2 \sqrt{5} }{2 \sqrt{2} } + \frac{ \sqrt{2} }{25} [/tex]

[tex] \frac{ \sqrt{10} }{5} + \frac{ \sqrt{10} }{2} - ( \frac{ \sqrt{5} }{ \sqrt{2} } + \frac{ \sqrt{2} }{25} )[/tex]

[tex] \frac{ \sqrt{10} }{5} + \frac{ \sqrt{10} }{2} - ( \frac{ \sqrt{10} }{2} + \frac{ \sqrt{2} }{25} )[/tex]

[tex] \frac{ \sqrt{10} }{5} - \frac{ \sqrt{2} }{25} [/tex]

b)

[tex] \frac{2 \sqrt{2} }{3 \sqrt{3} } + \frac{5 \sqrt{2} }{2 \sqrt{3} } - ( \frac{7 \sqrt{2} }{6 \sqrt{3} } + \frac{4 \sqrt{2} }{ \sqrt{3} } )[/tex]

[tex] \frac{2 \sqrt{6} }{9} + \frac{5 \sqrt{6} }{6} - \frac{31 \sqrt{2} }{6 \sqrt{3} } [/tex]

[tex] \frac{2 \sqrt{6} }{9} + \frac{5 \sqrt{6} }{6} - \frac{31 \sqrt{6} }{18} [/tex]

[tex] - \frac{2 \sqrt{6} }{3} [/tex]

Sper te-am ajutat!<33