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Well that is also wrong, or at least the .0 shows that the calculator is not doing the equations, it is just calculating. It doesn't know know that sqrt(2) x sqrt(2) = sqrt(2 x 2) = sqrt(2^2) = 2

And that is the kind of thing you get to understand if you do the calculations by hand.



A better way to look at sqrt(2) * sqrt(2) is:

sqrt(2) * sqrt(2) = 2^(0.5) * 2^(0.5) = 2^(0.5+0.5) = 2^1 = 2


That's nice, too, although I think the concept of fractional powers was only introduced much later in my school.




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