If $\sqrt{5x}\cdot\sqrt{10x}\cdot\sqrt{18x}=30$, find $x$.
I notice that the left-hand side of the equation has three square roots multiplied together, and each one has a factor of $x$ inside. I wonder if I can simplify this expression by using the property that $\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}$. I apply this property to the first two square roots and get $\sqrt{5x}\cdot\sqrt{10x}\cdot\sqrt{18x}=\sqrt{50x^2}\cdot\sqrt{18x}$. I apply this property again to the remaining two square roots and get $\sqrt{50x^2}\cdot\sqrt{18x}=\sqrt{900x^3}$. I rewrite the equation as $\sqrt{900x^3}=30$. I square both sides of the equation to get rid of the square root and get $900x^3=900$. I divide both sides by 900 to get $x^3=1$. I take the cube root of both sides to get $x=1$. 