Find the limit of $\frac{\sqrt{x^3}-\sqrt{27}}{x-3}$ as $x$ approaches $3$

Learn how to solve limits by rationalizing problems step by step online. Find the limit of (x^3^(1/2)-*27^(1/2))/(x-3) as x approaches 3. Simplify \sqrt{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{2}. Applying rationalisation. Multiply and simplify the expression within the limit. Simplify \left(\sqrt{x^{3}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2} and n equals 2.