Answer
$19\sqrt{3}$
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:
$=7\sqrt{4(3)}+\sqrt{25(3)}
\\=7\sqrt{2^2(3)} +\sqrt{5^2(3)}
\\=7\cdot 2\sqrt{3} + 5\sqrt{3}
\\=14\sqrt{3}+5\sqrt{3}$
RECALL:
For any real numbers $a, b,$ and $c$,
$ac+bc=(a+b)c$
Use the rule above to combine like terms:
$=(14+5)\sqrt{3}
\\=19\sqrt{3}$
