Question

Daca x= radical 2+ radical 3 si y= radical 6-1, calculeaza ( x²+y²-11)totul la puterea 100

Answer 1

x^2=2+2√6 +3=5+2√6
y^2=6 -2√6 +1=7 -2√6
x^2+y^2 - 11=5+2√6 + 7 -2√6 - 11=1
1 ridicat ra orice putere este tot 1.
am folosit formula: (a+b)^2 = a^2 +2ab +b^2 si teoria de inmultire a radicalilor, √a x √b = √ab