A=√(11−√21) - √(11+√21)
Calculați (a+√2-1)^(2016)
formula radicalilor compusi
√(11−√21)=√[11+√(121-21)]/2-√[11-√(121-21)]/2=√(11+√100)/2-√(11-√100)]/2=
=√21/2-√1/2=√21/2-√2/2
√(11+√21)=√[11+√(121-21)]/2+√[11-√(121-21)]/2=
=√(11+√100)/2+√(11-√100)]/2=
=√21/2+√1/2=√21/2+√2/2
A=√21/2-√2/2-√21/2-√2/2=-√2/2-√2/2=-√2
(a+√2-1)^(2016) =(-√2+√2+1)^2016=1^2016=1
