Question 1065200
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Imagine the plot of the function y = {{{sqrt(x)}}}.


The difference {{{sqrt(n^2 + e^2) - n}}} is the same as the difference {{{sqrt(n^2 + e^2) - sqrt(n^2)}}} and is the increment 
of the function y = {{{sqrt(x)}}} at the point x = {{{n^2}}} when you increase the argument "x" by the value of {{{e^2}}}.


The difference {{{n - sqrt(n^2 + e^2)}}} is the same as the difference {{{sqrt(n^2) - sqrt(n^2 - e^2)}}} and is the increment 
of the same function y = {{{sqrt(x)}}} at the point x = {{{n^2-e^2}}} when you increase the argument "x" by the value of {{{e^2}}}.


Then your statement follows the fact that the function y = {{{sqrt(x)}}} has lower grade at the point x = {{{n^2}}} than at the point x = {{{n^2-e^2}}}.


Very visual proof.
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