Answer
$=13$.
Work Step by Step
The given expression is
$=\sqrt{100}-\sqrt[3] {-27}$
Factor the radicands:
$=\sqrt{25\cdot 4}-\sqrt[3] {-27}$
$=\sqrt{5^2\cdot 2^2}-\sqrt[3] {-3^3}$
$=\sqrt{(10)^2}-\sqrt[3] {(-3)^3}$
Rewrite as an exponential expression.
$=(10)^{\frac{2}{2}}-(-3)^{\frac{3}{3}}$
Simplify.
$=(10)^1-(-3)^1$
$=10+3$
$=13$.
