remember that \(\sqrt{\frac{x}{y} }= \frac{ \sqrt{x} }{ \sqrt{y} }\) so
\(\sqrt{\frac{1000}{100000} }= \frac{ \sqrt{1000} }{ \sqrt{100000} }\)
find the individual square roots
\(\frac{ \sqrt{1000} }{ \sqrt{100000} }\)=\(\frac{ 10\sqrt{10} }{ 100\sqrt{10} } = \frac{10}{100} times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{10}{100} times 1= \frac{1}{10}\)
answer is 1/10
