Question

Va rog ajutati-ma !
Calculati media aritmetica si media geometrica a numerelor :
a= radical din 2 + 1 si b= radical din 2 - 1

Answer 1

ma =(a+b) :2 = (√2+1+√2-1):2=2√2:2=√2
mg= √ a×b = √ √2+1×√2-1= √2√2-1

Answer 2

$m_{a}$ = $( \sqrt{2}+1+ \sqrt{2} -1 ) : 2= 2\sqrt{2x} : 2 = \sqrt{2}$

$m_{g}$ = $\sqrt{ (\sqrt{2} + 1) * \sqrt{2} - 1)} = \sqrt{( \sqrt{2}^{2} - 1^{2} )} = \sqrt{2 -1} = \sqrt{1} = 1$