Question

Calculati media geometrica a numerelor 4+√7 si 4-√7.

Answer 1

√(4+√7)(4-√7) = √16-7 =√9 = 3

Answer 2

$Mg= \sqrt{a*b} = \sqrt{(4+ \sqrt{7})*(4- \sqrt{7}) } \\ Observatie!\text{ Lucram cu o diferenta de patrate} \\ = \sqrt{4^2- \sqrt{7}^2 } \\ = \sqrt{16-7} \\ = \sqrt{9} \\ =3 \\ Formula\to\boxed{(a+b)(a-b)=a^2-b^2}$

Mult noroc!