Definition talk:Absolute Value/Real Number

I'm not sure if it is even possible to define the square root without first defining the absolute value. You need Intermediate Value Theorem and the definition of continuity. --barto (talk) 08:44, 2 August 2017 (EDT)

There's a good reason why both Smith and Binmore mention this in an exercise and a remark respectively, rather than taking it as the definition. --barto (talk) 09:00, 2 August 2017 (EDT)