WHAT QUESTION!!! 👏

Once again the answer by the estimation division method which starts by pairing digits starting at the decimal point and finding the closest square root of the first pair Answer = 66665

4444222225 =2222 * 2000100 + 25 =2 * 1111*（1999800 + 300） + 25 = 2 * 1111 * (2 * 999900 + 300) + 25 set 1111 = a 2a * (1800a + 300) + 25 = 3600a^2 + 600a + 25 = (60a + 5)^2 = (66665)^2

Amazing

Divide by 1111, N = 1111×4000200+25 N = 1111×200×200001+25 N = 1111×200×3×6667+25 N = 6666×6667×100+25 N = (6666×6667×4+1)×25 Calling a=6665, we have N/25 = (a+1)(a+2)×4+1 = (a²+3a+2)x4+1 = (a²+2a+1+a+1)×4+1 = 4(a+1)²+4(a+1)+1 = (2(a+1))² +2(2(a+1))+1 = (2(a+1)+1)² So ... N = (10(a+1)+5)², a = 6665

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What reasonable person writes 10¹⁰ as 10,000,000,000???