Given the following expression:
[tex]\sqrt[]{\frac{9}{16}}[/tex]remember that we have the following property when we have a square root of a fraction:
[tex]\sqrt[]{\frac{a}{b}}=\frac{\sqrt[]{a}}{\sqrt[]{b}}[/tex]then, in this case we have the following:
[tex]\sqrt[]{\frac{9}{16}}=\frac{\sqrt[]{9}}{\sqrt[]{16}}=\frac{3}{4}[/tex]therefore, the simplified expression is 3/4