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