Answer:
[tex]2\sqrt[]{25y^8}\times4\sqrt[]{6y^3}=8\sqrt[]{150y^{11}}[/tex]Explanation:
Given the expression:
[tex]2\sqrt[]{25y^8}\times4\sqrt[]{6y^3}[/tex]To simplify this, first rewrite the expression as
[tex]2\times4\times\sqrt[]{25y^8\times6y^3}[/tex]This is the same as
[tex]2\times4\times\sqrt[]{25\times6\times y^8\times y^3}[/tex]Evaluating this, we have
[tex]\begin{gathered} 8\sqrt[]{150\times y^{8+3}} \\ \\ =8\sqrt[]{150\times y^{11}} \\ \\ =8\sqrt[]{150y^{11}} \end{gathered}[/tex]