👤

a = (√3+√5)(3-√15) +(1+√3)² aratati ca a ∈ N

Răspuns :

A = (√3+√5)(3-√15) +(1+√3)² aratati ca a ∈ N
=3
√3+3√5-√45-√75+1+2√3+3
=3√3+3√5-3√5-5√3+1+2√3+3
=5√3-5√3+0+4
=0+4
=4
------------------------------
q.e.d.