Answer
$\sqrt{13} + 2\sqrt{5}$
Work Step by Step
Regroup the terms to obtain:
$=(3\sqrt{13}-2\sqrt{13})+(4\sqrt{5}-2\sqrt{5})$
RECALL:
The distributive property states that for any real numbers a, b, and c:
(1) $ac + bc = (a+b)c$
(2) $ac - bc = (a-b)c$
Use rule (1) above to combine like terms:
$=(3-2)\sqrt{13} + (4-2)\sqrt{5}
\\=1\sqrt{13} + 2\sqrt{5}
\\=\sqrt{13} + 2\sqrt{5}$