Question

Calculati media aritmetica si media geometrica a numerelor:
$a = \sqrt{(4 \sqrt{2 } } - 7) {}^{2}$
$b = \sqrt{(4 \sqrt{2} } + 7) {}^{2}$

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Answer 1

Radicalul se reduce cu ridicarea  la a 2

a = 4V2 - 7

b = 4V2 + 7

Ma = (a+b)/2 = (4V2-7+4V2+7)/2 = 8V2/2 = 4V2

Mg= V(a*b) = V(4V2-7)(4V2+7) = V((4V2)² - 7²) = V(32-49) = -V17