Let a and B be r, A2 + 2B2 = 6, then the minimum value of a + B is - 3

Let a and B be r, A2 + 2B2 = 6, then the minimum value of a + B is - 3

Let a = radical 6cos θ, B = radical 3sin θ, then a + B = radical 6cos θ + radical 3sin θ,
So the minimum value is - 3