Decomposing #108# into factors one step at a time:
#108#
#color(white)("XXX")=2xx54#
#color(white)("XXX")=2xx2xx27#
#color(white)("XXX")=2xx2xx3xx9#
#color(white)("XXX")=2xx2xx3xx3xx3#
#color(white)("XXX")=2^2xx3^2xx3#
#sqrt(108) =sqrt(2^2xx3^2xx3)#
#color(white)("XXX")=sqrt(2^2)xxsqrt(3^2)xxsqrt(3)#
#color(white)("XXX")=2xx3xxsqrt(3)#
#color(white)("XXX")=6sqrt(3)#