How do you find square root of 337? - Answers

Ok, so if you have a calculator then just key in √ and then 337 I don't know how to get the exact answer without the calculator but I can estimate the the answer to two decimal places. if you can't have a calculator you work out which two square numbers are closest above 337 and closest below 337 i.e 18x18=324 19x19=361 so we know now that the answer will be 18.(something) because the square root is in between 18 and 19 now, to accurately estimate you take 324 from 361 which equals 37 to see if the first decimal place is higher or lower then 5 you divide 37 by 2: 37÷2=18.5 and add this to 324 if the total comes over or at 337 we know that the first decimal place will be under 5 324+18.5= 342.5 so no we've narrowed the answer down to 18.(something below five) now we do the same as before but to find whether the the decimal place will be higher or lower than 2.5 but as we already know the difference between the two numbers is 18.5 so we just half it = 9.25 and add 9.25 to 324 324+9.25= 333.25 Now we've got some boundries and can make an educated estimate as too the answer 1.we know the answer is 18.(something) 2. we know the ."something" is below 5 3. we know it is higher than .25 4 we know it is closer to .25 than .5 So personally I would put the answer as 18.35 It's just an estimate sorry I haven't been taught how to get the exact answer! Hope it helps (sorry if I'm wrong or it isn't explained well, i'm only 13) PS. the real answer is: 18.3575597506858 --- I was pretty close