Question

simplify the radical expression. state any restrictions on the variable.

Answer 1

\(\large\begin{align} \color{black}{\text{replace }~~n^2=x\\~\\~\\
\dfrac{n^4-10n^2+24}{n^4-9n^2+18}\\~\\~\\
=\dfrac{x^2-10x+24}{x^2-9x+18}\\~\\~\\
\text{solve the quadratic}}\end{align}\)