How do you multiply #sqrt(2)*[3*sqrt(10) + 2*sqrt(2)]#?

1 Answer
Jun 23, 2015

Answer:

#6sqrt(5)+4#

Explanation:

#sqrt(2)[color(red)(3*sqrt(10))+ color(blue)(2*sqrt(2))]#

#=[color(red)(sqrt(2)*3*sqrt(10))]+[color(blue)(sqrt(2)*2*sqrt(2))]#

#=[color(red)(3*sqrt(20))]+[color(blue)(2*sqrt(4))]#

#=[color(red)(3*2sqrt(5))]+[color(blue)(2*2)]#

#=color(red)(6sqrt(5))+color(blue)(4)#