ANSWER
[tex]b=\frac{3}{4}[/tex]EXPLANATION
We want to find the value of b in:
[tex]b^2=\frac{36}{64}[/tex]To do this, we find the square root of both sides of the equation and simplify.
That is:
[tex]\begin{gathered} \sqrt[]{b^2}=\sqrt[]{\frac{36}{64}} \\ \Rightarrow b=\frac{\sqrt[]{36}}{\sqrt[]{64}} \\ b=\frac{6}{8} \\ \Rightarrow b=\frac{3}{4} \end{gathered}[/tex]That is the value of b.