Question

How do you simplify `4sqrt(2m)+6sqrt(3m)-4sqrt(2m)`?

Answer 1

=`6sqrt(3m)`

Explanation:

Although these are written in the form of radicals, the basics of Algebra still apply. Look at the three terms and decide which are like terms and which are unlike terms.

`color(red)(4sqrt(2m)) + 6sqrt(3m) color(red)(-4sqrt(2m)" "larr` like terms

The like terms are additive inverses and add to 0.

=`6sqrt(3m)`