Answer
$5\sqrt{7}$
Work Step by Step
Simplify the radicals that can still be simplified by factoring the radicand so that one of the factors is a perfect square:
$=\sqrt{4(7)}+\sqrt{9(7)}
\\=\sqrt{2^2(7)} +\sqrt{3^2(7)}
\\=2\sqrt{7} + 3\sqrt{7}$
RECALL:
For any real numbers $a, b,$ and $c$,
$ac+bc=(a+b)c$
Use the rule above to combine like terms:
$=(3+2)\sqrt{7}
\\=5\sqrt{7}$
