Question

Medal

sqrt 24a^7

Answer 1

\(\large { \sqrt{24a^7}\qquad
\begin{cases}
24\to 2\cdot 2\cdot 2\cdot 3\to 2^2\cdot 2\cdot 3
\\ \quad \\
a^7\to a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\to a^2\cdot a^2\cdot a^2\cdot a
\end{cases}
\\ \quad \\
\sqrt{24a^7}\implies \sqrt[{\color{blue}{ 2}}]{2^{\color{blue}{ 2}}\cdot 2\cdot 3\cdot a^{\color{blue}{ 2}}\cdot a^{\color{blue}{ 2}}\cdot a^{\color{blue}{ 2}}\cdot a}
}\)