How do you simplify #5sqrt3 * 8sqrt2#?

1 Answer
Sep 13, 2015

Answer:

#40sqrt6#

Explanation:

Multiply the roots with the roots
and the integers with integers

#sqrt3# and #sqrt2# are the roots
#5# and #8# are the integers

#5sqrt(3)*8sqrt2" "# is the same as #" "5*8*sqrt(3)*sqrt(2)#

#rarr5*8=40#

#rarrsqrt(3)*sqrt(2)=sqrt(3*2)=sqrt(6)#

Hence, #5*8*sqrt(3)*sqrt(2)=color(blue)(40sqrt6)#