Option 1:
If the given is [tex] \frac{ \sqrt{10} }{125} [/tex], the expressions is in simplest form
Option 2:
If the given is [tex] \sqrt{ \frac{10}{125} } [/tex]:
Solution:
a) Reduce the radicand to lowest term [tex] \frac{2}{25} [/tex].
b) Simplify:
[tex] \sqrt \frac{2}{25} = \frac{ \sqrt{2} }{5} [/tex]
The answer is [tex] \frac{ \sqrt{2} }{5} [/tex]