The simplest form of the square root of 337 is: ± 18 (± 18.35756).
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3.74 = 374/100 = 337/50
2.25 = 21/4 3.74 = 337/50
3 and 37/50 or 187/50
A prime only has itself and 1 as factors. If you can divide another number besides 1 and itself, then you know the number isn't prime. A way to do a prime test by hand is to test if the number is divisible by any prime numbers between 1 and the number's square root. For example, if you want to see if 337 is a prime number, you first take its square root (= 18.36). Now check if 337 is divisible by any prime number between 1 and 19: 2, 3, 5, 7, 11, 13, 17. You will see none of them are possible without fractions, therefore 337 is a prime number.
No real solutions. But if you want to find the imaginaries: x=.5(25-i(337)^.5) y=.5(25-i(337)^.5) x^.5= the square root of x