Given:
The given expression is [tex]\frac{b}{a^{2}}=16[/tex]
We need to solve the expression for a.
Solving for a:
Let us find the solution for a.
Interchanging the sides, we have;
[tex]16=\frac{b}{a^{2}}[/tex]
Simplifying the terms, we get;
[tex]a^2=\frac{b}{16}[/tex]
Taking square root on both sides, we have;
[tex]a=\sqrt{\frac{b}{16}}[/tex]
Simplifying, we get;
[tex]a=\pm \frac{\sqrt{b}}{4}[/tex]
Thus, the solution of a is [tex]a=\pm \frac{\sqrt{b}}{4}[/tex]
Hence, Option C is the correct answer.
