Question

multiply and simplify by factoring. Assume that all expressions under radicals represent non-negative numbers

3sqrty^4 ^3sqrt81y^5

Answer 1

\[\LARGE \sqrt[3]{y^4}\sqrt[3]{81y^5}\]


\[\LARGE \sqrt[3]{y^4*81y^5}\]


\[\LARGE \sqrt[3]{81y^9}\]


\[\LARGE \sqrt[3]{27*3(y^3)^3}\]


\[\LARGE \sqrt[3]{27}*\sqrt[3]{3}*\sqrt[3]{(y^3)^3}\]


\[\LARGE 3*\sqrt[3]{3}*y^3\]


\[\LARGE 3y^3\sqrt[3]{3}\]



So \[\LARGE \sqrt[3]{y^4}\sqrt[3]{81y^5}=3y^3\sqrt[3]{3}\]