A perfect square is represented by BCCDEFGGB, where each of the letters is denoted by a distinct nonzero digit.
Furthermore:

• Each of BCCD and EFGGB is a perfect square.
• Each of EF and GGB is a perfect square.

Determine the square root of the number represented by BCCDEFGGB.

Note: Computer program solutions are welcome but a semi-analytic (calculator+p&p) method is preferred.