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

Question

1663 views around the world

You can reuse this answer
Creative Commons License

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)]sqrt(2)*[3*sqrt(10) + 2*sqrt(2)]?