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Primul Exercițiu,va roog

Primul Exercițiuva Roog class=

Răspuns :

formula radicalilor compusi
√(29-12√5)=√(29-√720)=√[29+√(29²-720]/2-√[29-√(29²-720]/2=
=√[29+√(841-720]/2-√[29-√(841-720]/2=√(29+√121)/2-√(29-√121)/2=
=√(29+11)/2-√(29-11)/2=√40/2-√18/2=√20-√9=2√5-3

√[2√5+1-√(29-12√5)]=√[2√5+1-(2√5-3)]=√(2√5+1-2√5+3)=√4=2