Question

How do you evaluate `-12\sqrt { 2} - 5\sqrt { 2} + 12\sqrt { 2}`?

Answer 1

See a solution process below:

Explanation:

Factor the common term of `color(red)(sqrt(2))` from each term and then add the remainders of each term:

`-12color(red)(sqrt(2)) - 5color(red)(sqrt(2)) + 12color(red)(sqrt(2)) =>`

`(-12 - 5 + 12)color(red)(sqrt(2)) =>`

`-5color(red)(sqrt(2))`