How do you simplify #-8sqrt(384)#?

1 Answer
Aug 8, 2015

Answer:

#-8sqrt(384) = -64sqrt(6)#

Explanation:

#384#
#color(white)("XXXX")##=2*192#
#color(white)("XXXX")##=2^2*96#
#color(white)("XXXX")##=2^3*48#
#color(white)("XXXX")##=2^4*24#
#color(white)("XXXX")##=2^5*12#
#color(white)("XXXX")##=2^6*6#
#color(white)("XXXX")##=2^7*3#

#color(white)("XXXX")##=(2^3)^2 * 2^1*3#
#color(white)("XXXX")##= 8^2*6#

#-8sqrt(384)#
#color(white)("XXXX")##= (-8)*8sqrt(6)#
#color(white)("XXXX")##=-64sqrt(6)#