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(1+√2)la puterea 2 + (1-√2)la puterea 2

Răspuns :

(1+√2)²+ (1-√2)²=  1+2√2 +2 +1-2√2+2=

=1+2+1+2=

=6
1²+2·1·√2+√2²  +  1²-2·1·√2+√2²
1+2√2+2 + 1-2√2+2=     2√2 si -2√2 se reduc
1+2+1+2=6 .