Let a, B, C ∈ positive real number, a + B + C = 7, then the maximum value of √ a + √ B + √ C is

（√a+√b+√c）^2=a+b+c+2√ab+2√bc+2√ac=7+2√ab+2√bc+2√ac

RELATED INFORMATIONS

1. a. B and C are positive real numbers, which are not equal to each other and ABC = 1
2. As shown in the figure, the real numbers corresponding to two points a and B on the number axis are 1 and 3 respectively. If the symmetric point of point a about point B is point C, then the real number corresponding to point C is______ ．
3. The corresponding points of real numbers a, B and C on the number axis are shown in the figure —————_ 4——_ 3—— _ 2—— _ 1 ——O——1——2——3——4——5——— A is between minus 4 and minus 3, B is between minus 1 and minus 2, and C is between two and three Simplification: | A-B | - | C-A | + | B-C|
4. It is known that a, B and C denote the side length of △ ABC, m ＞ 0. Proof: AA + m + BB + m ＞ CC + M
5. If we know that the three vertices of △ ABC are a (2,2), B (0,1), C (4,3), and the point d (m, 1) is on the line where the height of the edge BC is located, then the real number M=______ ．
6. In △ ABC, if the edges opposite angles a, B and C are a, B, C, M = (3b-c, COSC), n = (a, COSA), m ‖ n respectively, then the value of cosa is equal to () A. 36B. 34C. 33D. 32
7. It is known that a, B, C belong to {positive real number}, and a ^ 2 + B ^ 2 = C ^ 2. When n belongs to N, n > 2, compare the size of C ^ n and a ^ n + B ^ n Very urgent
8. Real numbers a, B, C belong to interval (0,1), and a, B, C are not equal to each other It is known that real numbers a, B and C all belong to interval (0,1), and a, B and C are not equal to each other. If M = loge bottom (a + b) / 2, n = 1 / 2 (loge bottom a + loge bottom b), P = 1 / 2 loge bottom (a + b) / 2, then the size relationship of M, N and P is,
9. How to prove that A.B.C is positive real number (a + B + C) (1 / A + 1 / B + 1 / C) greater than or equal to 9 Such as the title
10. If three points a (3,1), B (- 2, K) and C (8,1) can form a triangle, then the value range of the real number k is the same
11. Let a and B be two real numbers. The following conditions are given 1.a+b=2 2.a+b>2 3.a+b=2 4.a^+b^>2 5.ab>1 If at least one real number of a and B is greater than 1
12. If a √ a + B √ B ＞ a √ B + B √ a, then the condition that real number a B should satisfy is
13. Real numbers a, B, C, D, satisfy, d > C, a + B = C + D, a + D
14. There are two piles of mud. Originally, the mass of cement in pile a is 5 / 7 of that in pile B. now, 12 tons of cement are transported from pile B to pile A. at this time, the mass of cement in pile a is 7.8% How many tons of cement are there in a and B piles
15. The price of 20 kg apple and 30 kg pear is 132 yuan. The price of 4 kg apple is equal to that of 5 kg pear Please write down the process Just one unknown X Please use the method of the first volume of the fifth grade
16. The speed ratio of the two vehicles is 3:4. After 5 / 4 hours, the two vehicles meet. The distance ratio of the two vehicles is (): ()
17. There are two cargo ships. The cargo carrying capacity of ship a is 25% more than that of ship B. ship a and ship B carry 1800 tons of cargo in total. What are the cargo carrying capacity of ship a and ship B? (use the equation to solve the problem.)
18. Some coal has been transported by Party A alone for six times and Party B alone for five times. Now Party A has transported three times and Party B has transported two times, with a total of 18 tons. How many tons in total?
19. As shown in the figure, in the quadrilateral ABCD, ab = BC, BF is the bisector of ∠ ABC, AF ‖ DC connects AC and CF
20. A and B two cars from East and west at the same time, the distance ratio is 5:3 when they meet. At this time, B car is 80 kilometers away from the center of the two places How many kilometers are there between the East and the west?