# [05AB1E](https://github.com/Adriandmen/05AB1E/wiki/Commands), 8 [bytes](https://github.com/Adriandmen/05AB1E/wiki/Codepage)

    Åœ2ùŲPà

[Try it online](https://tio.run/##yy9OTMpM/f//cOvRyUaHdx5uPbQp4PCC//9NAQ) or [verify the smaller test cases](https://tio.run/##yy9OTMpM/V9Waa@k8KhtkoKSfeX/w61HJxsd3nm49dCmgMML/uv8jzbQMdQx0jHWMdEx1THTMdex0LHUMQQKGsYCAA).

**Explanation:**

<!-- language-all: lang-python -->

    Ŝ        # Get all lists of positive integers that sum to the (implicit) input
      2ù      # Only keep the pairs
        Ų    # Check for each number whether it's a square
          P   # Product: check for each pair if both are truthy
              # (the empty list will also result in truthy for n=0 and n=1)
           à  # Max: check if any in the list is truthy
              # (after which the result is output implicitly)