(a+b)^2=(a+b)(a+b)=a^2+ab+ab+b^2=a^2+2ab+b^2
Voi scrie calculele detaliat doar pentru primul punct, ca exemplu.
a) (√3)^2+2*√3*1+1^2=4+2√3
3+2√3+1=4+2√3
4+2√3=4+2√3 (adevărat)
c) 2+4√2+4=6+4√2
6+4√2=6+4√2 (adevărat)
e) 8+4√2+1=9+4√2
9+4√2=9+4√2 (adevărat)
g) 4+12√2+18=22+12√2
22+12√2=22+12√2 (adevărat)
(a-b)^2=(a-b)(a-b)=a^2-ab-ab+b^2=a^2-2ab+b^2
b) 2-2√2+1=3-2√2
3-2√2=3-2√2 (adevărat)
d) 3-4√3+4=7-4√3
7-4√3=7-4√3 (adevărat)
f) 9-6√2+2=11-6√2
11-6√2=11-6√2
h) 5-6√5+9=14-6√5
14-6√5=14-6√5 (adevărat)