Решите задание из фотографии.

1.а) sqrt(49c) - sqrt(16c) + sqrt(25c) = 7sqrt(c) - 4sqrt(c) + 5sqrt(c) = 8sqrt(c). б) sqrt(8m) - 0.2sqrt(200m) + 3sqrt(72m) = 2sqrt(2m) - 2sqrt(2m) + 18sqrt(2m) = 18sqrt(2m). в) (7sqrt(2) - sqrt(98) + sqrt(10))sqrt(2) = (7sqrt(2) - 7sqrt(2) + sqrt(20)) = sqrt(20). 2.а) (1 - sqrt(2))(3 + sqrt(2)) = 3 - sqrt(2) - 3sqrt(2) - 2 = 1 - 4sqrt(2). б) (3 + sqrt(15))(sqrt(15) - 3) = 3sqrt(15) - 9 + 15 - 3sqrt(15) = 6. в) (1 + 3sqrt(2))^2 = 1 + 6sqrt(2) + 18 = 19 + 6sqrt(2). 3.а) (7 + sqrt(7))/(3sqrt(7)) = 7/(3sqrt(7)) + sqrt(7)/(3sqrt(7)) = (7sqrt(7))/(21) + (1)/(3) = (sqrt(7))/(3) + (1)/(3). б) (c^2 - 2)/(c - sqrt(2)) = (c - sqrt(2))(c + sqrt(2))/(c - sqrt(2)) = c + sqrt(2). 4.а) 12/(7sqrt(6)) = (12sqrt(6))/(42) = 2sqrt(6)/7. б) 5/(sqrt(13) + sqrt(3)) = 5(sqrt(13) - sqrt(3))/((sqrt(13))^2 - (sqrt(3))^2) = 5(sqrt(13) - sqrt(3))/(10) = (sqrt(13) - sqrt(3))/2.