The expression given is,
[tex]\sqrt{100x^6y^4}[/tex]
Therefore,
[tex]\begin{gathered} \sqrt{100x^6y^4}=\sqrt{100}\sqrt{x^6}\sqrt{y^4} \\ \\ Note:\sqrt{100}=10 \\ \sqrt{x^6}=x^3 \\ \sqrt{y^4}=y^2 \\ \\ \therefore\sqrt{100x^6y^4}=10x^3y^2 \end{gathered}[/tex]
Hence, the answer is
[tex]10x^3y^2[/tex]
