no. i am 100% sure that sqrt(x) is equilvalent to x^(1/2). if you got a graphing calculator/software, plug in
f(x)=sqrt(x) and
f(x)=x^(1/2) you'll see the same graph.

if you don't have these handy, a weaker argument would be to just plug in 4^(1/2) into your calculator (or windows calculator). it is most definately give you 2 everytime. Why do you think is that? calculators are not suppose to be misleading and give you half of the correct answers. there is only one answer to x^(1/2), that is, the positive one. as mentioned in my last edited post, the restriction for the domain of f(X)=x^(1/2) is x>=0.

You must understand, that it is f(x)=x^(1/2), f(x) part precisely indicates that it is a *function*. as I have repeated several times, a function does *NOT* return many answers. if you are a student, speak with a math teacher or someone with authority. I can assure you that I am 100% correct. A side note, I take responsibility for my own posts as I usually do not provide [potentially] incorrect informations or infos that may mislead readers.


imagine functions that does actually return infinite amount of answers, what'll happen if you plug in that function in your calculator? which one is it going to display? does it display one, wait 1 second, and display another??