Question

Va rog urgent!Plzz!
Dau coroana raspuns complet +explicatie!​

Answer 1

Răspuns:

Explicație pas cu pas:

a) (4-√5)² = 4² - 2·4·√5 + (√5)² = 16-8√5+5 = 21-8√5

b) (√3-3)² = (√3)²-2·√3 ·3 +3² = 3-6√3 +9 = 12-6√3

c) (√10-1)² = (√10)²-2·√10 ·1 + 1² = 10-2√10+1 = 11-2√10

d) (6-√6)² = 6²-2·6·√6 +(√6)² = 36-12√6+6 = 42-12√6

e) (√8-4)² = (√8)²-2·√8 ·4+4² = 8-8√8 +16 =24-8√8 =24-8·2√2 =

=24-16√2

f) (√7-√6)² = (√7)²-2·√7·√6+(√6)² = 7-2√42 +6 = 13-2√42

g) (√12-√2)² = (2√3 - √2)² = (2√3)²-2·2√3·√2+(√2)²=

=4·3-4√6+2 = 14-4√6

h) (√20-√2)² =(√20)²-2·√20·√2+(√2)² = 20-2√40+2 = 22-2·2√10=

=22-4√10

i) (√14-√7)² = (√14)²-2·√14·√7+(√7)² = 14-2·7·√2+7 = 14-14√2+7=

=21-14√2

j) (√18-1)² = (√18)²-2·√18·1+1² = 18-2√18+1 = 19-6√2

k) (√24-√6)² = (√24)²-2·√24·√6 +(√6)² =

= 24 -2√(24·6) +6 = 30-2√144 = 30-2·12 = 30-24 = 6

l) (√32-√8)² = (√32)²-2·√32·√8+(√8)² =

= 32-2·√(32·8)+8 = 32-2·√256 +8 = 40-2·16=40-32=8