Question

How do you simplify `5sqrt6 + sqrt6`?

Answer 1

Do a little factoring and adding to get `6sqrt6`.

Explanation:

Begin by factoring out `sqrt6`:
`sqrt(6)(5+1)`

Note that if we distributed the `sqrt(6)`, we would get `5sqrt(6)+sqrt(6)`, which is our original expression.

Now add `5+1` in the parentheses:
`sqrt(6)(6)`

Finally, rewrite so it looks a little neater:
`6sqrt6`