Contents 
1  
1.414213562373095048801688724209698078569671875376948073176679737990732478462  1 million digits, 2 million, 5 million, 10 million  
1.732050807568877293527446341505872366942805253810380628055806979451933016909  1 million digits  
2  
2.236067977499789696409173668731276235440618359611525724270897245410520925638  1 million digits  
2.449489742783178098197284074705891391965947480656670128432692567250960377457  1 million digits  
2.645751311064590590501615753639260425710259183082450180368334459201068823230  1 million digits  
2.828427124746190097603377448419396157139343750753896146353359475981464956924  1 million digits  
3  
3.162277660168379331998893544432718533719555139325216826857504852792594438639  1 million digits  
3.316624790355399849114932736670686683927088545589353597058682146116484642609  
3.464101615137754587054892683011744733885610507620761256111613958903866033818  
3.605551275463989293119221267470495946251296573845246212710453056227166948293  
3.741657386773941385583748732316549301756019807778726946303745467320035156307  
3.872983346207416885179265399782399610832921705291590826587573766113483091937  
4  
4.123105625617660549821409855974077025147199225373620434398633573094954346338  
4.242640687119285146405066172629094235709015626130844219530039213972197435386  
4.358898943540673552236981983859615659137003925232444936890344138159557328203  
4.472135954999579392818347337462552470881236719223051448541794490821041851276 
[1; 2, 2, ...]  
[1; 1, 2, 1, 2, ...]  
[2]  
[2; 4, 4, ...]  
[2; 2, 4, 2, 4, ...]  
[2; 1, 1, 1, 4, 1, 1, 1, 4, ...]  
[2; 1, 4, 1, 4, ...]  
[3]  
[3; 6, 6, ...]  
[3; 3, 6, 3, 6, ...]  
[3; 2, 6, 2, 6, ...]  
[3; 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, ...]  
[3; 1, 2, 1, 6, 1, 2, 1, 6, ...]  
[3; 1, 6, 1, 6, ...]  
[4]  
[4; 8, 8, ...]  
[4; 4, 8, 4, 8, ...]  
[4; 2, 1, 3, 1, 2, 8, 2, 1, 3, 1, 2, 8, ...]  
[4; 2, 8, 2, 8, ...] 
A square root of a number is the number that is multiplied by itself and gives the first number. For example, 2 is the square root of 4, because 2×2=4. Only numbers bigger than or equal to zero have real square roots, and a number bigger than zero has two square roots. One is positive (bigger than zero) and the other is negative (smaller than zero). There are two square roots because a negative number multiplied by a negative number is a positive number. Zero only has one square root: zero.
Square roots of negative numbers are not real numbers  they are imaginary numbers. Every complex number except 0 has 2 square roots. For example: 1 has two square roots. We call them $i$ and $i$.
The sign for a square root is made by putting a bent line over a number, like this: $\backslash sqrt\; 4$. We say "the square root of 4" (or whatever number we are taking the square root of).
A whole number with a square root that is also a whole number is called a perfect square. The first few perfect squares are: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225...
It is not really known where the square root symbol $\backslash sqrt\{\backslash ,\backslash ,\}$ comes from, but some people believe that it was from the letter r, which is the first letter of the Latin and German word radix. Radix means square root.
Here are sentences from other pages on Square root, which are similar to those in the above article.
