In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
[tex]\sqrt{-36x^6y^{14}}[/tex]
Step 02:
simplify the expression:
[tex]\begin{gathered} \sqrt{-36x^6y^{14}}=\text{ }\pm\sqrt{36}\sqrt{x^6}\sqrt{y^{14}}\sqrt{-1} \\ \\ \text{ } \end{gathered}[/tex][tex]\begin{gathered} \sqrt{-36x^6y^{14}}=\text{ }\pm6\text{ x}^{\text{ 3}}\text{ y}^7\text{ i} \\ \\ \text{ } \end{gathered}[/tex]
The answer is:
± 6 x^3 y^7 i
