How do you simplify #(4sqrt32) /3 +( 5sqrt18) / 6#?

1 Answer
May 13, 2017

Answer:

#color(brown)((47sqrt2)/6#

Explanation:

#(4sqrt32)/3+(5sqrt18)/6#

By calculator#color(brown)(=11.07800624#

#:.=(8sqrt32+5sqrt18)/6#

#:.=(8 xx sqrt(4*4*2)+5sqrt(3*3*2))/6#

#sqrt4 xx sqrt4=4,sqrt3 xx sqrt3=3#

#:.=(8 xx 4sqrt(2)+5 xx 3sqrt(2))/6#

#:.=(32sqrt(2)+15sqrt(2))/6#

#:.color(brown)(=(47sqrt2)/6# by calculator #color(brown)(=11.07800624#