 Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

No matching category found.

No matching Locality found.

Outside India?

Search for topics

# 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.

0 Dislike
Follow 1  ## Other Lessons for You

How To Avoid Sleep While Studying?
How To Avoid Sleep While Studying? Here are the top 7 methods to avoid sleep while you are studying: 1)Be Interested in what you are Studying! Yes in order to prevent sleep you must make sure... This is one of my videos of word problems of quadratic equations. There are more of them, one can go through and get an idea of the topic quadratic equations ### Looking for Class 10 Tuition ?

Find best Class 10 Tuition in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you