How do you simplify #-sqrt83#?

1 Answer
George C.
Apr 4, 2016

This expression is not simplifiable.

Explanation:

#83# is prime, so it has no square factors and its square root cannot be simplified.

Bonus

#sqrt(83)# can be expressed as a continued fraction:

#sqrt(83) = [9;bar(9,18)] = 9+1/(9+1/(18+1/(9+1/(18+1/(9+...)))))#

which you can use to give you rational approximations, e.g.

#sqrt(83) ~~ [9;9] = 9+1/9 ~~ 9.11#

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