QuestionSimplify the expression $\frac{\sqrt{15 b^{6} c^{11}}}{\sqrt{5 b^{4} c^{7}}}$, assuming all variables are positive.

Studdy Solution
implify the square roots of $b^{2}$ and $c^{4}$.
$$\sqrt{3} \cdot \sqrt{b^{2}} \cdot \sqrt{c^{4}} = \sqrt{3} \cdot b \cdot c^{2}$$So, the simplified form of the given expression is $\sqrt{3} \cdot b \cdot c^{2}$.