Given that is it ever possible to have Explain.

Answer:

Yes, it is possible for 𝑎 𝑏 𝑎 𝑏 a ​ b ​ ab ​ , but only in special cases. This happens if either 𝑎 0 a0 or 𝑏 0 b0, because the square root of 0 is 0. For example, if 𝑎 0 a0, then 0 𝑏 0 𝑏 𝑏 0 𝑏 0 ​ b ​ 0 b ​ b ​ 0b ​ . Similarly, if 𝑏 0 b0, the equation also works. In all other cases where both 𝑎 a and 𝑏 b are positive, the sum of the square roots is greater than the square root of the sum.