Learn your squares first... 1*1 = 1 2*2 = 4 3*3 = 9 4*4 = 16 now lets say you want the square root of 10 what do we already know? its slightly greater than 3 not by much but slightly so I would write a 3 down. From there I usually just add a decimal or two in my mind and slowly increment it. 3.1...9.61 close.. 3.15... 9.922. closer... basically its a pain if you want to get the exact answer but you can get very close. Just look at the number you want to take the square root of and figure out where it would be in the square list.
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The formula of square root is basic once you learn it. To figure out the square root of a number you must know what a square number is. A square number is the product of a multiplication problem such as 7x7, 123x123 and 14x14. So the square root of 7 is 49. A trick to figuring out the square root of a number is adding consecutive odd number to the previous problem.
the length of a side of a square is the square root of the area of the square.
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