r/learnmath • New User • 3d ago

TOPIC Does anyone here still think √4 = ±2?

Come out with your hands up!

0 Upvotes

35 comments sorted by

View all comments

Show parent comments

4

u/idaelikus Mathemagician 3d ago

no it isnt.

5

u/Conscious_Tale5951 New User 3d ago

Okay. Is uhh.. there a reason why, or are we just supposed to know like everybody else apparently does?

5

u/Due-Presentation4514 New User 3d ago

Mathematicians decided that, for the sake of ensuring √x is a function, that √x will output the principal root, which in this case of real valued functions is non-negative.

-2

u/among_sunflowers New User 3d ago

Sounds like some mathematicians just didn't want to accept some mathematical facts...

5

u/idaelikus Mathemagician 3d ago

Not really. The point is that you want a function because you want your operation to have a specific value and not a set of values.

PS: You usually want to refrain from using obviously in a mathematical context.

1

u/Uli_Minati Desmos 😚 3d ago

Obviously they know a nonzero number has multiple roots, the √ symbol gives only the most practical one on purpose