How do you simplify the square root of 45/125?

##3/5##

Question: Simplify ##sqrt(45/125)##

##sqrt(45/125)## ------------------------ ##sqrt(a/b)##

= ##sqrt45/sqrt125## ---------------------- ##sqrt(a/b) = sqrta/sqrtb##

= ##sqrt(5xx9)/sqrt(5xx25)## ----------------- ##sqrt(axxb)##

= ##[sqrt5xxsqrt9]/[sqrt5xxsqrt25]## ------------- ##sqrt(axxb) = sqrta xx sqrtb##

= ##[sqrt5xx3]/[sqrt5xx5]##

= ##[3sqrt5]/[5sqrt5]##

= ##[3cancelsqrt5]/[5cancelsqrt5]##

= ##3/5##

##:. Ans: 3/5##