Square root of a number 25 will be expressed as √25. It can be defined in simple language as Square of any number under the root. Root is indicated by symbol (√). Normally this symbol is used to indicate square root. But when it is written with a radical 3 then it is called Cube root. If radical is 4 then it is called as fourth root. Such as 3√x is called cube root and 4√x is called as fourth root and so on.
Square root symbol ‘√’ is also called as radical symbol. Lets write an expression that shows the relationship between square and radical expressions √A = B.
This can also be written as B2 = A. That is this expression finds that does the square of number change to a radical when manipulating formulae. In other words, we can say that square of a number produces another number which is equals to product of former number two times. In reverse, square root of the latter gives the former. Expression which has the square root or radical symbol is called radical expression.
Mathematically, radical root of any number 'X' is expressed as √X. √X is equals to another number 'Y', √X = Y or X = Y2. Hence square root is equals to number which is square of number under the root.
Let’s try to understand it by taking an example.
√81 = 9. Since when we multiply 9 two times that is 9 * 9 then it equals 81. This can be written as:
92 = 81.
When power 2 on 9 will be removed then it will be shifted as power 1/ 2 on 81 as
9 = (81)1/2,
This can also be written as:
9 = √81.