Question

How do you combine `3+sqrt3+sqrt5`?

Answer 1

`3+sqrt3+sqrt5~~6.9681188`

Explanation:

As there is nothing common between the three, you cannot combine them except by converting them into decimals.

Hence `3+sqrt3+sqrt5`

`~~3+1.7320508+2.2360680`

= `6.9681188`

Since both `sqrt3` and `sqrt5` are irrational, the decimal equivalents can only be approximate. Hence, we write sum as `~~ 6.9681188`.