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11-10-2017 02:12 AM - edited 11-10-2017 02:13 AM
just like the pic above
after transform the root form to the Decimal form
the answer cannot be transformed to the root number form
why does this happened?
My Casio Fx-991CN X can trans root and decimal form back and forth for many times
So, it's there is a solution to solve this problem
my firmware version is 20170710
Solved! Go to Solution.
11-11-2017 09:19 AM
The command exact always returns a fraction of 2 integers, so never a root.
For a description of exact, press Toolbox key (B key), next in the menu press Catlg, select exact, Press Help key.
Besides, the answer 978122/564719 is in fact better than root(3), because
and root(3)= 1.7320508075689...
When you want a root instead of a fraction you could write:
11-12-2017 08:31 AM
it is a kind of philosophy of implementation.
A root cannot be displayed exactly as decimal number, so if you display (and transform) a root as decimal number (let's say with 10 digits), there is no way for return (when there is no place for storing the original root input).
When you key in the approximation (with ten digits) and you perform an "exact" command and you get the root, then it is intellectually not honest, because it is a calculator guess, maybe a guess you wish. But it is a lack of infintiy number of digits to give prove of root.
11-13-2017 09:52 PM
A phylosophical question is the best way to describe this.
Phylosophes actually have worked a lot on this question:
If I am right, but for the wrong reasons, am I still right?
Look for the "Gettier problem" for more information on this.