[tex]a = ( \frac{5}{ \sqrt{10} } + \frac{3}{ \sqrt{6} } ) \times \frac{2 \sqrt{8} }{ \sqrt{10} + \sqrt{6} } \\ a = ( \frac{ \sqrt{10} }{2} + \frac{ \sqrt{6} }{2} ) \times \frac{4 \sqrt{2} }{ \sqrt{2} ( \sqrt{5} + \sqrt{3}) } \\ a = \frac{ \sqrt{10} + \sqrt{6} }{2} \times \frac{4}{ \sqrt{5} + \sqrt{3} } \\ a = \sqrt{2}( \sqrt{5} + \sqrt{3} ) \times \frac{2}{ \sqrt{5} + \sqrt{3} } \\ a = \sqrt{2} \times 2 \\ a = 2 \sqrt{2} [/tex]
[tex]mg = \sqrt{a \times b} < = > mg = \sqrt{2 \sqrt{2} \times \sqrt{32} } = \sqrt{2 \sqrt{2} = 4 \times 4 \sqrt{2} } = \sqrt{16 } [/tex]
Răspuns:
Mg=4
b) Mara