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

1 Answer
Johnson Z.
Mar 15, 2016

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)|)))

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