How do you simplify $-sqrt83$ ?

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Answer 1 · 2016-04-04T06:55:16

This expression is not simplifiable.

$83$ 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.

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

How do you simplify -sqrt83-sqrt83?