How do you add #2sqrt3-4sqrt2+6sqrt3+8sqrt2#?

1 Answer
Mar 10, 2018

Answer:

See a solution process below:

Explanation:

First group like terms:

#2color(red)(sqrt(3)) - 4color(blue)(sqrt(2)) + 6color(red)(sqrt(3)) + 8color(blue)(sqrt(2))#

#2color(red)(sqrt(3)) + 6color(red)(sqrt(3)) - 4color(blue)(sqrt(2)) + 8color(blue)(sqrt(2))#

Now, combine like terms:

#(2 + 6)color(red)(sqrt(3)) + (-4 + 8)color(blue)(sqrt(2))#

#8color(red)(sqrt(3)) + 4color(blue)(sqrt(2))#