How do you simplify #3sqrt5+6sqrt5#?

2 Answers
Mar 30, 2017

Answer:

#9sqrt5#

Explanation:

When adding or subracting, the radicals have to be the same.

#3sqrt5 +6sqrt5#

Since #3# & #6# have the same radical, we simply add them.

#(3+6)sqrt5#

#9sqrt5#

#sqrt5# cannot be written in any simpler form so our answer is

#9sqrt5#

Mar 30, 2017

Answer:

#9sqrt5#

Explanation:

We can add/subtract radicals in the same way we add/subtract like algebraic terms.

#"That is "color(red)(3)x+color(red)(6)x=(color(red)(3+6))x=9x#

#rArrcolor(red)(3)sqrt5+color(red)(6)sqrt5=(color(red)(3+6))sqrt5=9sqrt5#