Question

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

Answer 1

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))`