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aratati ca (√2-2)^2 -(√2-1)^2=(√2-1)^2

Răspuns :

 (√2-2)² -(√2-1)²=(√2-1)²
 (√2-2)² -(√2-1)²= 2-4√2+4 -2+2√2-1= -2√2+3=-2√2+3=2-2√2+1=
=(√2)²-2×√2×1+1²=(√2-1)²