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

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Answer 1 · 2015-06-23T01:01:57

#6sqrt(5)+4#

#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)#

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