How do you simplify #5sqrt(11x)*sqrt(22x)#?

1 Answer
Oct 2, 2015

Answer:

#5sqrt(11x)*sqrt(22x) = 55sqrt(2)abs(x)#

Explanation:

#color(red)(5sqrt(11x)) * color(blue)(sqrt(22x))#
#color(white)("XXX")=color(red)(5) * color(red)(sqrt(11)) * color(red)(sqrt(x)) * color(blue)(sqrt(2)) * color(blue)(sqrt(11)) * color(blue)(sqrt(x))#

#color(white)("XXX")=color(red)(5) * color(red)(sqrt(11)) * color(blue)(sqrt(11)) * color(blue)(sqrt(2)) * color(red)(sqrt(x)) * color(blue)(sqrt(x))#

#color(white)("XXX")=color(red)(5) * (11) * color(blue)(sqrt(2)) * abs(x)#

#color(white)("XXX")=55sqrt(2)abs(x)#