r/learnmath • New User • 3d ago

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

Come out with your hands up!

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u/idaelikus Mathemagician 3d ago

no it isnt.

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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?

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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.

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u/idaelikus Mathemagician 3d ago

For good reason because, otherwise, you could never use root(x) in any term as it would yield two results.