Answer:
The values for a, b and c are;
[tex]\begin{gathered} a=9 \\ b=5 \\ c=5 \end{gathered}[/tex]
Explanation:
Given the expression;
[tex]\sqrt[]{\frac{81}{5}}[/tex]
To simplify;
[tex]\frac{\sqrt[]{81}}{\sqrt[]{5}}=\frac{9}{\sqrt[]{5}}[/tex]
Rationalizing, we have;
[tex]\frac{9}{\sqrt[]{5}}\times\frac{\sqrt[]{5}}{\sqrt[]{5}}=\frac{9\sqrt[]{5}}{5}[/tex]
Expressing the expression in the form;
[tex]\frac{a\sqrt[]{b}}{c}=\frac{9\sqrt[]{5}}{5}[/tex]
Therefore, the values for a, b and c are;
[tex]\begin{gathered} a=9 \\ b=5 \\ c=5 \end{gathered}[/tex]
