Root Functions - Maple Help

Units[Natural]

 sqrt
 the square root function in the Natural Units environment
 root
 the nth root function in the Natural Units environment
 surd
 the non-principal root function in the Natural Units environment

Calling Sequence

 sqrt(x) $\sqrt{x}$ root[n](x) ${\mathrm{root}}_{n}\left(x\right)$ root(x, n) surd(x, n)

Parameters

 x - algebraic expression n - integer

Description

 • The sqrt(x) function takes the square root the unit-free portion of x and multiplies it by the unit raised to the power 1/2.
 • The root(x, n) and root[n](x) functions take the nth root of the unit-free portion of x and multiply it by the unit raised to the power 1/n.
 • The surd(x, n) function takes the nth root of the unit-free portion of x, whose (complex) argument is closest to the unit-free portion of x, and multiplies it by the unit raised to the power 1/n.
 • For other properties, see the global functions sqrt, root, and surd.

Examples

 > $\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Natural}\right]\right):$
 > $\mathrm{sqrt}\left(3.532{m}^{2}\right)$
 ${1.879361594}{}⟦{m}⟧$ (1)
 > $\mathrm{root}\left(3.532{m}^{3},3\right)$
 ${1.522907638}{}⟦{m}⟧$ (2)
 > $\mathrm{root}\left[3\right]\left(-3.532{m}^{3}\right)$
 $\left({0.7614538193}{+}{1.318876702}{}{I}\right){}⟦{m}⟧$ (3)
 > $\mathrm{surd}\left(-3.532{m}^{3},3\right)$
 ${-}{1.522907638}{}⟦{m}⟧$ (4)
 > $\mathrm{surd}\left(16.532{m}^{4},4\right)$
 ${2.016421638}{}⟦{m}⟧$ (5)