Prophet sir....old confusion...finally NOT ashamed to ask :P

I always was and am confused with POSITIVE and NEGATIVE signs for the square roots!So,please answer these seemily STUPID questions [1] so that i remain no longer confused!

√4=?
41/2=?

6 Answers

1
Debosmit Majumder ·

√4 = 2 and 41/2 = +-2....i think prophet sir will be able to explain this better

62
Lokesh Verma ·

see this is a matter of convention and definition.

I would strongly suggest u to folow what debosmit has said...

and keep in mind if u have a question where it acts like a function then u will take only the +ve value in both cases...

1
AVISIKTA UPADHYAY ·

but sir, what is d √4 not equal to -2 where as 41/2
equal to -2??? could u please explain in depth???????

62
Lokesh Verma ·

see avisikta.. to avoid confusion

there are two questions one is

x= √4

another is x2=4

What is bein said is that in the first case x=2

2nd one is clearly x= both 2 and -2

adding to what I am saying, the way we have defined functions is that it is never one to many relation. So if we want square root to be a function then we cannot allow it to be both +2 and -2 (it will kill the basic definition of a function)

Recall that we allow this in the inverse trigonometric functions.

3
h4hemang ·

√4 = 2
41/2 = 2
but if x2 = 4
then x = +2 or -2.

1
Abhishek Das ·

I agree with "h4hemang" √4 =2 but
x2 = 4
the x = +2 and -2.

Actually the 2 values of x satisfies the equation.

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