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How do you find the square root of 1849?
The number is 43
We have ##50^2=2500##, and ##40^2=1600##.
Midpoint is ##45^2 > 1849##.
So it must be between 40 and 45.
The terminal digit squared## = 9##. So if the root is an integer, that number is 43.
Testing ##43^2 = 1849## confirms that this is the required root.