Question

Calculati va rog.

(√45-√3)²≈
(√11-√13)²≈
(√3plus√12)²≈
(√7plus√11)²≈
Calculati va rog dau coroana garantat.

Answer 1

Se vor aplica formulele:
→ (a-b)²=a²-2*a*b+b²
→ (a+b)²=a²+2*a*b+b²

(√45-√3)²=(√45)²-2*√45*3+(√3)²=45-2√135+3=48-2*3*√15=48-6*√15=6*(8-√15)

(√11-√13)²=(√11)²-2*√11*√13+(√13)²=11-2*√143+13=24-2*√143=2*(12-√143)

(√3+√12)²=(√3)²+2*√3*√12+(√12)²=3+2*√36+12=3+2*6+12=3+12+12=27

(√7+√11)²≈(√7)²+2*√7*√11+(√11)²=7+2*√77+11=18+2*√77=2*(7+√77)