How do you simplify #sqrt2(3+3sqrt2)#?

1 Answer
Jul 5, 2015

Answer:

#sqrt(2)(3+3sqrt(2)) = 3sqrt(2) +6#

Explanation:

#color(red)(sqrt(2))(color(blue)(3 + 3 sqrt(2)))#
#color(white)("XXXX")#using the distributive property:
#=(color(red)(sqrt(2) * color(blue)(3)))+(color(red)(sqrt(2))*color(blue)(3sqrt(2)))#
#color(white)("XXXX")#multiplying each term
#= (3sqrt(2)) + (3sqrt(2)^2)#

#= 3 sqrt(2) + 6#