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

Author:
February 20th, 2023

##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##

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