a) \(\sqrt[]{\dfrac{20^2-16^2}{16}}\)
\(=\sqrt[]{\dfrac{\left(20-16\right)\left(20+16\right)}{16}}\)
\(=\sqrt[]{\dfrac{4.36}{16}}\)
\(=\sqrt[]{\dfrac{36}{4}}=\sqrt[]{9}=3\)
b) \(\sqrt[]{\left(-2\right)^2.9.\dfrac{289}{49}}\)
\(=\sqrt[]{2^2.3^2.\dfrac{17^2}{7^2}}\)
\(=2.3.\dfrac{17}{7}=\dfrac{102}{7}\)


