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
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
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
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
Awesome 💯😎🔥
Amazing
Thanks
What reasonable person writes 10¹⁰ as
10,000,000,000???
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
🇩🇴🇺🇸🇩🇴🇺🇸