How do you simplify #9 sqrt 2 (2 sqrt 7 + 5 sqrt 5)#?

1 Answer
Mar 15, 2016

Answer:

#18sqrt(14)+45sqrt(10)#

Explanation:

#1#. Distribute the #color(blue)9color(red)(sqrt(2))# to each term within the brackets.

#color(red)9color(blue)(sqrt(2))(color(orange)2color(purple)(sqrt(7))+color(teal)5color(brown)(sqrt(5)))#

#=(color(red)9xxcolor(orange)2)sqrt(color(blue)2xxcolor(purple)7)+(color(red)9xxcolor(teal)5)sqrt(color(blue)2xxcolor(brown)5)#

#2#. Simplify.

#=color(green)(|bar(ul(color(white)(a/a)18sqrt(14)+45sqrt(10)color(white)(a/a)|)))#