\[\sqrt{36a^{2}b^{15}},\ \ если\ a > 0 \Longrightarrow\]
\[\sqrt{36a^{2}b^{15}} = 6a\sqrt{b^{15}} =\]
\[= 6a\sqrt{b^{14} \cdot b} = 6a\left| b^{7} \right|\sqrt{b}.\]