Question

\(\sqrt{\dfrac{16.9}{640}}\)

Answer 1

\(\sqrt{\dfrac{16.9}{640}}=\sqrt{\dfrac{16.9}{16.40}}=\sqrt{\dfrac{9}{40}}\)

\(=\sqrt{\left(\dfrac{3}{2\sqrt{10}}\right)^2}=\dfrac{3}{2\sqrt{10}}=\dfrac{3\sqrt{10}}{2.\sqrt{10}.\sqrt{10}}\)

\(=\dfrac{3\sqrt{10}}{20}\)

Answer 2

\(\sqrt{\dfrac{16.9}{640}}=\sqrt{\dfrac{16.9}{16.40}}=\sqrt{\dfrac{9}{40}}=\dfrac{3}{\sqrt{4}\sqrt{10}}=\dfrac{3}{2\sqrt{10}}\)