Square root of 10 plus the square root of 5

Hello Harrisonkaden13, the square root of 10 plus the square root of 5 is,



The principal, real, root of:
^2√10 = 3.16227766 All roots:
3.16227766 or −3.16227766

10 is not a perfect square.

The principal, real, root of:
^2√5 = 2.23606798All roots:
2.23606798 or −2.23606798

5 is not a perfect square

We add them and we get 5.39834564 or -5.39834564.