Given that a B is a rational number, and the square of (a + √ 3) is B, the value of B to the power of a is obtained

Given that a B is a rational number, and the square of (a + √ 3) is B, the value of B to the power of a is obtained

A B is a rational number, and (a + √ 3) ^ 2 = B
B=A^2+2√3A+3
Because B is a rational number, and a ^ 2 > = 0 must be a rational number, 2 √ 3A must also be a rational number,
So a must contain a factor of √ 3, that is, a is equal to any rational number multiplied by √ 3
So the minimum absolute value of a = 0 * √ 3 = 0
Now B ^ a = 3 ^ 0 = 1
Because a has many groups, B ^ a naturally has many groups