this should be correct if not just let me know. hope this helps.
\(\sqrt{\frac{3}{5}}=\frac{\sqrt{3}}{\sqrt{5}}\)
\(\frac{\sqrt{3}}{\sqrt{5}}=\frac{\sqrt{3}}{\sqrt{5}}*\frac{\sqrt{5}}{\sqrt{5}}\)
\(\frac{\sqrt{3}}{\sqrt{5}}*\frac{\sqrt{5}}{\sqrt{5}}=\frac{\sqrt{3*5}}{\sqrt{5*5}}\)
\(\frac{\sqrt{3*5}}{\sqrt{5*5}}=\frac{\sqrt{15}}{\sqrt{25}}\)
\(\frac{\sqrt{15}}{\sqrt{25}}=\frac{\sqrt{15}}{5}\)