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Calculati media geometrica a numerelor reale x = [tex] \frac{4}{√√2-1} [/tex] si y = √(1-√2)²

Răspuns :

[tex]x= \frac{4}{\sqrt{2}-1 } \\ x= \frac{4( \sqrt{2}+1) }{2-1} \\ x=4( \sqrt{2}+1) [/tex]
[tex]y= \sqrt{(1- \sqrt{2})^{2} } \\ y=| 1- \sqrt{2} | \\ y= \sqrt{2}-1 [/tex]
[tex]mg= \sqrt{x*y} \\ mg= \sqrt{4( \sqrt{2}+1)( \sqrt{2}-1) } \\ mg= \sqrt{4(2-1)} \\ mg= \sqrt{4}=2 [/tex]