Question

WILL FAN & MEDAL! How is the 3888 gotten in this problem? \[\sqrt[4]{3}*\sqrt[5]{2}\] = \[\sqrt[20]{3888}\]

Answer 1

\[\huge
\sqrt[4]{3} = \sqrt[4\times 5]{3^5} = \sqrt[20]{243}
\]

Answer 2

\[\huge
\sqrt[5]{3} = \sqrt[5\times 4]{2^4} = \sqrt[20]{16}
\]

Answer 3

\[
\sqrt[20]{16\times 243} = \sqrt[20]{3888}
\]

Answer 4

@Procrasturbator