Determine the simplified form of the equation:
$7 \sqrt{144 x^{3}}$
The simplified form of the equation is $\boxed{84x^{1.5}}$
Step 1 :The given equation is $7 \sqrt{144 x^{3}}$
Step 2 :Take the square root of 144 and $x^{3}$
Step 3 :The square root of 144 is 12 and the square root of $x^{3}$ is $x^{1.5}$
Step 4 :Multiply these results by 7
Step 5 :The simplified form of the equation is $\boxed{84x^{1.5}}$