Important: The command radsimp has been deprecated.  Use the superseding command simplify(...,radical,symbolic) instead.  The command radnormal is also useful for simplifying radicals.

The original radsimp has been removed and replaced by a wrapper to simplify(...,radical,symbolic). If the optional argument 'ratdenom' is present, this call will be followed by a call to rationalize().

A call to radsimp simplifies radicals contained in expr.

If the second argument, 'ratdenom', is present, then radsimp will rationalize the denominator of expr.

radsimp provides a normal form for expressions involving unnested radicals of rational functions.  For nested radicals, the algorithm is applied recursively, and then the inner radicals are frozen. For nonrational operators, the algorithm is first applied to the arguments, and then the operator is frozen.

radsimp chooses branches of multi-valued expressions according to its own rules, which may not be consistent with rules used by other functions.  (For example, evalf(evalc(expr) - radsimp(expr)) may not always yield 0.) See evalc and evalf.

$\mathrm{radsimp}\left({\left(1+2x+x^2\right)}^{\frac{1}{2}}\right)$

$x+1$

$\mathrm{radsimp}\left({\left(1+2^{\frac{1}{2}}\right)}^{-1}\right)$

$\frac{1}{1+\sqrt{2}}$

$\mathrm{radsimp}\left({\left(1+2^{\frac{1}{2}}\right)}^{-1}\,'\mathrm{ratdenom}'\right)$

$\sqrt{2}-1$