Given that A.B is a rational number and [a + √ 3B] square = 7-4 √ 3, find the value of A.B

(A+√3B)^2=7-4√3=(2-√3)^2
A=2,B=-1 or A=-2,b=1

RELATED INFORMATIONS

1. Given that a and B are rational numbers and - 3B + (a - √ 3) √ 3 = 5 + 6 √ 3, find the value of a + B
2. If three unequal rational numbers can be expressed as either 1, a, a + B or 0, B, a / B, the values of a and B can be obtained
3. Let three mutually unequal rational numbers be expressed in the form of 1, a + B, a, or 0, B / A, B, then B-A =?
4. The positions of rational numbers a, B and C are shown in the figure, and the graph of | a + B | - | B-1 | - | a-c | - | 1-C | - B -- a -- 0 -- C -- 1 is calculated
5. Now we stipulate an operation, a * b = (a + b) - (a-b), where a and B are rational numbers, then what is a * B + (a + b) * (a-b) equal to? Please make it clear to me, Good point
6. A new operation is provided: a * b = (a + b) - (a-b) where a and B are rational numbers, then what is a * B + (a + b) * (a-b) equal to What is (a + b) * equal to?
7. It is stipulated that an operation a ⁃ B = AB + A-B, where a and B are real numbers, then a ⁃ B + (B-A) ⁃ B equals () A. a2-bB. b2-bC. b2D. b2-a
8. For rational numbers a, B, C, D, a kind of operation a, B = ad BC is defined. Then when - 2x 4 = 14, C, D (1-x) 5 can find the value of X
9. Let a, B, C and d be rational numbers, we define a new operation, | ABCD | = ad BC, then | 0.5x-1 Y8 3 | = | X - y0.5 - 1 | = - 7 x、y=?
10. If a new operation is defined and the absolute value of ABCD = ad BC, then when the absolute value of 2x4x = 27, x =? The absolute value of ABCD is | ab | the absolute value of 2x4x connecting the upper and lower two | 2 4 | connecting the upper and lower two |cd| |x x| |
11. Given rational numbers a and B, and (a + √ 3b) ^ 2 = 3 + A ^ 2-A √ 3, find the value of √ a + B
12. Given that a and B are rational numbers and (a + √ 3b) ^ 2 = 7-4 √ 3, find the value of a and B
13. For the definition of rational number AB, calculate: a △ B = (3a + b) / (a-3b). Find the value of 7 △ 6
14. If the rational numbers a and B satisfy that a is not = 0 and a + 3B = 0, find the value of the third power of - (A / b)
15. Given that the rational numbers a and B are not zero, and a + = 3B = 0, find the value of the third power of a minus B
16. If one side of the triangle is 5cm long and the other side is 7cm long, the value range of the middle line length on the third line is ()
17. If we know that one part of a + a = 3, then the value of one part of a & # 178; + A & # 178; is?
18. Let a = {X-Y, x + y, XY} B = {X & sup2; + Y & sup2;, - X & sup2; - Y & sup2;, 0} if a = B, find the value of real number x, y Come on, speed up
19. Given a square b square + a square + b square + 16 = 10ab, which a square + b square = how much
20. Let the volume of the triangular prism abc-a1b1c1 be V, P and Q be the points on the side edges Aa1 and CC1 respectively, and PA = qc1, then the volume of the pyramid b-apqc is () A. 16vB. 14vC. 13vD. 12v