Let a and B be positive real numbers, and prove: 1 / 2 of a + 1 / 2 of B + ab

1/a2+1/b2+ab
≥2√1/(a^2b^2)+ab
=2/(ab)+ab
≥2√2
If and only if a = B, the equal sign holds

RELATED INFORMATIONS

1. Let a be greater than B and greater than 0, and the square of a plus the square of B is equal to 6ab
2. Let a be greater than B and greater than 0, and the square of a + the square of b-6ab is equal to 0, then the square of a + the square of B-A is 0
3. If the parabola y = - 3x2-6x + 5 is known, then its vertex coordinates are______ ．
4. Given that the opening direction and size of a parabola are the same as the parabola y = 3x & # 178;, and the vertex is the same as the parabola y = x & # 178; + 2, the analytic formula of the parabola is obtained
5. The parabola y = ax & # 178; + C passes through two points a (2,1), B (- 1, - 5), finds the expression of the parabola, and points out the opening direction and vertex coordinates of the parabola
6. Matching method, how to match the X & # 178; + 3x + 5 = y matching method into vertex form
7. Given that X and Y belong to R, and 3x ^ 2 + 2Y ^ 2 = 6x, find the maximum and minimum of X + y (require detailed answer)
8. If the value of 2Y's Square plus 3Y plus 7 is 8, what is the value of 4Y's Square plus 6y minus 9
9. Determine whether the circle x ^ 2 + y ^ 2-6x + 4Y + 12 = 0 is tangent to the circle x ^ 2 + y ^ 2-14x-12y + 14 = 0?
10. How to use cross multiplication to solve 3x ^ 2-14x-24 = 0?
11. If AB is a real number and B = 2010, the square of change sign A-1 + the square of change sign 1-A + 2010, find the value of a-b
12. Given that the real numbers a and B satisfy AB = 1, the evaluation is as follows: (1) B of 1 + A + 1 + B of B; (2) 1 / 2 of 1 + A + 1 / 2 of B + 1 / 1 It's mainly the second question. The first question has come out --
13. Given that the real number AB satisfies AB = 1, then a square + 1 / 1 + b square + 1 / 1 is evaluated
14. Exercise 3. Known: as shown in the figure, a = D, ab ‖ DF, BC = EF, and the four points B, C, e and F are on the same line
15. Given a + B = 3, ab = 2, find the value of a-b
16. Given that a + B = 32, ab = 1, the result of (A-2) (b-2) is () A. 1B. 2C. -1D. -2
17. Second grade mathematics (a ^ 2 + AB) / (a ^ 2 + 2Ab + B ^ 2), where a = - 3, B = 2, first reduce, then evaluate
18. 2 (A & # 178; - AB) - 3 (2a & # 178; - AB) where a = - 2, B = 3, the evaluation is urgent!
19. Given that x = 2 ^ M-1, y = 5 + 4 ^ m, we use the algebraic expression containing x to express y as
20. [J, x ^ 2-3x-1 = 0, find the value of algebraic formula 1 / x ^ 2-2x-1 If possible, it can make me understand better