Question

Media aritmetica a numerelor:radical din 2 + 1 si 1 supra radical din 2 + 1.

Answer 1

[√2+1 + 1/(√2+1)]/2 =
=[√2+1+1(√2-1)/(√2+1)(√2-1)]/2=
=[√2+1+1(√2-1)/(2-1)]/2=
=√2+1+√2-1)/2=
=2√2/2=√2

Answer 2

$\frac{ \sqrt{2}+1+ \frac{1}{ \sqrt{2}+1 } }{2} = \frac{ \sqrt{2}+1+ \sqrt{2}-1 }{2} = \frac{2 \sqrt{2} }{2} = \sqrt{2}$