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Is square root of 4 value +2 or -2?

Pankaj Gupta
27 Sep 0 0

We know that  square of +2 is 4 and square of -2 is also 4. But is the square root of 4 compounds to -2? 


Lets look:

We should know that √ (square root) operator is a positive operator i.e it outputs the principal square root. Principal square root is always positive. 



Moreover the domain of square root function is a positive number. So a positive number's square root cannot be negative.



Moreover if we say,


Let x=√4.   Find x.

Here we should see that the equation has degree as 1 and hence cannot result two roots ( no of roots of an equation are maximum equal to the degree of the equation) 


The equation x=√4 has degree as one. Hence will have one solution or one root, which is +2 not -2. 

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