Question

calculati media geometrica a numerelor a=(7radical din 2 +7)(7radical din 2 -7) si b= 2,(7)

Answer 1

Mg=√a×b
a=(7√2+7)(7√2-7)
b=2,(7)
=> a=(7√2)2-7 la puterea 2
=>a=98-49
=>a=49
=>b=2 intregi si 7 pe 9
=> b=25 pe 9
Mg= √a×b= √49×25totul pe9 =
=35pe3

Answer 2

$\displaystyle a=\left( 7 \sqrt{2} +7\right)\left(7 \sqrt{2} -7\right) \Rightarrow a=98-49 \Rightarrow a=49 \\ b=2,(7) \Rightarrow b=\frac{27-2}{9} \Rightarrow b= \frac{25}{9} \\ mg= \sqrt{a \cdot b} = \sqrt{49 \cdot \frac{25}{9} } = \sqrt{ \frac{1225}{9} } = \frac{ \sqrt{1225} }{ \sqrt{9} } = \frac{35}{3}$