Question

DAU COROANA!!!
Media geometrica al numerelor a=(√2-1)×(√3+1) si b=(√2+1)×(√3-1)

Answer 1

m_g = √(a*b) = √[(√2 - 1)(√3 + 1)*(√2 + 1)(√3 - 1) =

= √[(√2 - 1)(√2 + 1)*(√3 + 1)(√3 - 1)] =

= √[(√2² - 1²)(√3² - 1²)] =

= √[(2-1)(3-1)] = √(1*2) = √2

Mai intai am grupat parantezele pt. a obtine formula a²-b² = (a-b)(a+b).