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Verified Answer :

√5m / √5n =

(√5m √5n ) / (√5n √5n)

= (√(5m 5n) ) / (5n)

= (√(25m
n) / (5n)

= √25 √(m n) / (5n)

= 5 √(m n) / (5n)

= √(m * n) / n