Square Root
In ^{m}Öa, m is the index or order, Ö is the radical or square root sign and a is the radicand.
a*a = a^{2} and (a)*(a) = a^{2}. Here 'a' is called the square root of a^{2}. Thus for a &a are two square roots of a^{2}. We denote square root with the symbol ' Ö '.
Example : What is the value of Ö25 ?
Solution : 25 = 5*5.
The square root of 25 is 5.
Number  First root 
1  1Ö1 = 1 
2  1Ö2 = 2 
3  1Ö3 = 3 
4  1Ö4 = 4 
5  1Ö5 = 5 
6  1Ö6 = 6 
10  1Ö10 = 10 
200  1Ö200 = 200 
Number  Second Root  Or Square Root  
1  2Ö1  Ö1 =Ö1x1 = 1 
4  2Ö4  Ö4 =Ö2x2 = 2 
9  2Ö9  Ö9 = Ö3x3 = 3 
16  2Ö16  Ö16 = Ö4x4 = 4 
25  2Ö25  Ö25 = Ö5x5 = 5 
36  2Ö36  Ö36 = Ö6x6 = 6 
49  2Ö49  Ö49 =Ö7x7 = 7 
64  2Ö64  Ö64 = Ö8x8 = 8 
81  2Ö81  Ö81 = Ö9x9 = 9 
100  2Ö100  Ö100 = Ö10x10 = 10 
Number  Third Root 
1  3Ö1 = 1 
8  3Ö8 = 2 
27  3Ö27 = 3 
64  3Ö64 = 4 
125  3Ö125 = 5 
Directions: Answer the following questions. Also write at least five more examples of your own for each root (first, second, and third root).
