# How do you combine 3+sqrt3+sqrt5?

Jul 24, 2018

$3 + \sqrt{3} + \sqrt{5} \approx 6.9681188$

#### Explanation:

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

Hence $3 + \sqrt{3} + \sqrt{5}$

$\approx 3 + 1.7320508 + 2.2360680$

= $6.9681188$

Since both $\sqrt{3}$ and $\sqrt{5}$ are irrational, the decimal equivalents can only be approximate. Hence, we write sum as ~~ 6.9681188.