Answer
$\color{blue}{\sqrt[4]{5}}$
Work Step by Step
RECALL:
$\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a}$
Use the rule above to obtain:
$=\sqrt[4(2)]{25}
\\=\sqrt[8]{25}$
Since $25=5^2$, the expression above is equivalent to:
$=\sqrt[8]{5^2}$
Use the rule $\sqrt[n]{a^m}=a^{m/n}$ to obtain:
$=5^{2/8}
\\=5^{1/4}$
Use the rule $a^{1/n} = \sqrt[n]{a}$ to obtain:
$=\color{blue}{\sqrt[4]{5}}$
