Răspuns:
[tex]a=\frac{3+\sqrt{5)}1 }{3-\sqrt{5}} +\frac{3-\sqrt{5})1}{\sqrt{5}+3} =\frac{3+\sqrt{5}+3-\sqrt{5}}{9-5} =\frac{6}{4} =\frac{3}{2}[/tex]
[tex]b=\sqrt{5} (\sqrt{5} )5\sqrt{5} -\frac{1}{\sqrt{5}})= \sqrt{5}\frac{25-1}{\sqrt{5}}=24[/tex]
[tex]\sqrt{a*b}=\sqrt{\frac{3}{2}*24} =\sqrt{3*12}=\sqrt{36} =6[/tex]
Explicație pas cu pas:
