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The isqrt function computes an integer approximation to the square root of x. The approximation is exact for perfect squares, and the error is less than 1 otherwise. Note: if $x<0$, isqrt(x) returns 0.

The iroot function computes an integer approximation to the n^th root of x. The approximation is exact for perfect powers, and the error is less than 1 otherwise. If the optional third argument is given, it is set to true or false to show whether the root is exact or not. Note: if $x<0$, and n is even, iroot(x, n) returns 0; if $x<0$, and n is odd, iroot(x, n) returns - iroot(- x, n).

The isqrt command is thread-safe as of Maple 15.

For more information on thread safety, see index/threadsafe .

$\mathrm{isqrt}\left(4\right)$

$2$

$\mathrm{isqrt}\left(5\right)$

$2$

$\mathrm{isqrt}\left(8\right)$

$3$

$\mathrm{isqrt}\left(10\right)$

$3$

$\mathrm{iroot}\left(100\&comma;3\right)$

$5$

$\mathrm{iroot}\left(10\&comma;2\&comma;'\mathrm{exact}'\right)\&semi;$$\mathrm{exact}$

$3$

$\mathrm{false}$

$\mathrm{iroot}\left(50653\&comma;3\&comma;'\mathrm{exact}'\right)\&semi;$$\mathrm{exact}$

$37$

$\mathrm{true}$

$\mathrm{iroot}\left(200\&comma;8\right)$

$2$

$\mathrm{isqrt}\left(-4\right)$

$0$

$\mathrm{iroot}\left(-27\&comma;3\&comma;'\mathrm{exact}'\right)\&semi;$$\mathrm{exact}$

$\mathrm{-3}$

$\mathrm{true}$

$\mathrm{iroot}\left(-500\&comma;5\&comma;'\mathrm{exact}'\right)\&semi;$$\mathrm{exact}$

$\mathrm{-3}$

$\mathrm{false}$