# How do you simplify -sqrt83?

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