Find a base ten perfect square of 12 digits formed from the concatenation of two base ten perfect squares, one having 4 digits and the other 8 digits. None of the three perfect squares can begin with a zero.

32²||7590² = 320090² = 1024||57608100
39²||9875² = 390125² = 1521||97515625
49²||9900² = 490100² = 2401||98010000
57²||7550² = 570050² = 3249||57002500
62²||4980² = 620020² = 3844||24800400
63²||5020² = 630020² = 3969||25200400
79²||8799² = 790049² = 6241||77422401
93²||7470² = 930030² = 8649||55800900
99²||9950² = 990050² = 9801||99002500

Posted by Dej Mar on 2011-09-25 18:01:48