Answer
$19\sqrt{3}$
Work Step by Step
Simplify each radical to obtain:
$=7\sqrt{4(3)} +\sqrt{25(3)}
\\=7\sqrt{2^2(3)} +\sqrt{5^2(3)}
\\=7(2)\sqrt{3}+5\sqrt{3}
\\=14\sqrt{3} + 5\sqrt{3}$
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 and obtain:
$=(14+5)\sqrt{3}
\\=19\sqrt{3}$
