Question

Calculați media geometrica a nr a si b,unde:
a=(radical 3-1)(radical 6+2) b=(radical 3+1)(radical 6-2)
mg=...?

Answer 1

$a=( \sqrt{3} -1)( \sqrt{6} +2) \\ b=( \sqrt{3} +1)( \sqrt{6} -2) \\ m_g= \sqrt{(\sqrt{3} -1)( \sqrt{6} +2)(\sqrt{3} +1)( \sqrt{6} -2)} = \sqrt{3-1+6-4}= \sqrt{4} =2$