Question

Calculati media geometrica a numerelor
Ex 9

Answer 1

Răspuns:

m$m_g} = \sqrt{xy} \\ a) \sqrt{(2\sqrt{5}-6) ^{2} } =modul din( 2\sqrt{5}-6) = 6 - 2\sqrt{5} \\m geometrica = \sqrt{{(6-2\sqrt{5})}(6+2\sqrt{5})} =\sqrt{36-20} =\sqrt{16} = 4 \\ b) prin rationalizare si reduceri se afla x =\sqrt{5}-1, iar y = \sqrt{5}+1 \\media geometrica = \sqrt{(\sqrt{5}-1 )(\sqrt{5}+1) }= \sqrt{5-1} =\sqrt{4} = 2\\c) x = 18\sqrt{3}, y =2\frac{\sqrt{3} }{3} \\media geometrica = \sqrt{\frac{18\sqrt{3}ori2\sqrt{3} }{3} } = \sqrt{36}=6$

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