Question

Potrzebuje pomocy w zadaniach zamieszczonych poniżej w plikach.. PILNE!

Answer 1

A.
1. (sqrt(2)+sqrt(3))^2 = 2 + 2sqrt(6) + 3 = 5 + 2sqrt(6)
2. (sqrt(5)-sqrt(3))^2 = 5 - 2sqrt(15) + 3 = 8 - 2sqrt(15)
3. (2sqrt(11)-3sqrt(5))^2 = 4*11 - 12sqrt(55) + 9*5 = 44 - 12sqrt(55) + 45 = 89 - 12sqrt(55)
B.
1. 1/sqrt(7) = 1*sqrt(7)/sqrt(7)*sqrt(7) = sqrt(7)/7
2. sqrt(5)/sqrt(5)-2 = sqrt(5)*(sqrt(5)+2)/(sqrt(5)-2)*(sqrt(5)+2) = (5 + 2sqrt(5))/5 - 4 = 5 + 2sqrt(5)
3. 5/1 +sqrt(3) = 5*(1 - sqrt(3))/ (1 +sqrt(3))*(1 - sqrt(3)) = (5 - 5sqrt(3))/1 - 3 = (5 - 5sqrt(5))/-2
4. sqrt(2)-1/sqrt(2)+1 = (sqrt(2)-1)*(sqrt(2)-1)/(sqrt(2)+1)*(sqrt(2)-1) = (2 - 2sqrt(2) + 1)/(2 - 1) = 3 - 2sqrt(2)
5. 1/2sqrt(3)-5 = 1*(2sqrt(3)-5)/(2sqrt(3)-5)*(2sqrt(3)+5) = (2sqrt(3)-5)/(4*3 - 25) = (2sqrt(3) - 5)/-13