Was ist die Quadratwurzel von 729?

Finden Sie zuerst die Primfaktorisierung von #729#:

#color(white)(000)729#
#color(white)(000)"/"color(white)(0)""#
#color(white)(00)3color(white)(00)243#
#color(white)(00000)"/"color(white)(0)""#
#color(white)(0000)3color(white)(000)81#
#color(white)(0000000)"/"color(white)(00)""#
#color(white)(000000)3color(white)(000)27#
#color(white)(000000000)"/"color(white)(00)""#
#color(white)(00000000)3color(white)(0000)9#
#color(white)(000000000000)"/"color(white)(0)""#
#color(white)(00000000000)3color(white)(000)3#

Damit:

#729 = 3^6#

Daher:

#sqrt(729) = sqrt(3^6) = 3^3 = 27#

Dies ist die positive Quadratwurzel.

#729# hat auch eine negative Quadratwurzel #-27#