Palindromic Squares with Non-Palindromic Roots

Theorem
The sequence of palindromic squares with non-palindromic square roots begins:
 * $676, 69 \, 696, 94 \, 249, 698 \, 896, 5 \, 221 \, 225, 6 \, 948 \, 496, 522 \, 808 \, 225, \ldots$

This sequence is not explicitly given in.

The sequence of those corresponding non-palindromic square roots begins:
 * $26, 264, 307, 836, 2285, 2636, 22 \, 865, 24 \, 846, 30 \, 693, \ldots$

Proof
By investigating all square numbers which are palindromic.

and so on.