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Aduceti la forma cea mai simpla expresia[tex] \sqrt{a-2 \sqrt{a+1} +2} [/tex]

Răspuns :

√[a-2√(a+1)+2]=
=√[a+1-2√(a+1)+1]=
=√{[√(a+1)]²-2√(a+1)+1}=
=√[√(a+1)-1]²=
=√(a+1)-1