Math, asked by realsujaykumar, 1 year ago

what is the difference between "square root" and "pricipal sqare root" ? please explain the concept clearly.

also find the error bellow
in which step and why :

√(-4)^2 = 4
or, (-4)^(2×1/2) = 4
or, (-4)^1 = 4
or, -4 = 4


realsujaykumar: plz give the answer only when you know the concept very well

Answers

Answered by siddhartharao77
0
Square root and principal square root :

A square root is a combination of positive and negative.

Principal square root is the one that is not negative.

Ex:  Square root of 36 is - 6 and +6.

       The principal square root of 36 is +6(not -6).



Now the errors in  the following are :

1. root 16 = 4(correct)

2. (-4)^(2 * 1/2) = -4

3. (-4)^1 = -4

4. cannot be determined.Mostly -4



Hope this helps!


siddhartharao77: After making conversation with you in the comment section, I came to know that RHS should not be considered.
siddhartharao77: I cannot able to change the answer now because there is no edit option.
realsujaykumar: hey bro i said that because you're confused
siddhartharao77: Yes. You are right. I am confused very much in the beginning.
realsujaykumar: as we all know if a= b , and a= c then also a= c
siddhartharao77: Yes.
siddhartharao77: Anyway, I did a mistake and I think I have rectified it. Thanks for that. Gud n8 bro
realsujaykumar: the does not finished bro
realsujaykumar: question doesn't finished bro
realsujaykumar: i think you'll still confused because you've still not able to find out error
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