Answer
$g(60)=6\sqrt{5}$
$g(60)\approx 13.42$
Work Step by Step
The given function is
$\Rightarrow g(x)=\sqrt{3x}$
Substitute $60$ for $x$.
$\Rightarrow g(60)=\sqrt{3(60)}$
Simplify.
$\Rightarrow g(60)=\sqrt{180}$
Factor as square term.
$\Rightarrow g(60)=\sqrt{36\cdot 5}$
$\Rightarrow g(60)=\sqrt{6^2\cdot 5}$
Use product property of square roots.
$\Rightarrow g(60)=\sqrt{6^2}\cdot \sqrt{5}$
Simplify.
$\Rightarrow g(60)=6\sqrt{5}$
Rounded to the nearest hundredth.
$\Rightarrow g(60)\approx 13.42$
