Răspuns:
Explicație pas cu pas:
a. (√2 + √3)² = (√2)²+2·√2·√3+(√3)² = 2+2√6+3 = 5+2√6
(a+b)² = a²+2ab+b²
b. (5 + √5)² = 5²+2·5·√5+(√5)² = 25+10√5+5 = 30+10√5
c. (√2 - √3)² = (√2)²-2·√2·√3+(√3)² = 2-2√6+3 = 5-2√6
(a-b)² = a²-2ab+b²
d. (5 - √5)² = 5²-2·5·√5+(√5)² = 25-10√5+5 = 30-10√5
e. (3 - √2)·(3 + √2) = 9-(√2)² = 9-2 = 7
(a-b)(a+b) = a²-b²
f. (√5 + √2)·(√5 - √2) = (√5)²-(√2)² = 5-2 = 3
