Question

find the smallest value of n such that 164n is a perfect square​

Answer 1

Step-by-step explanation:

164×n

let's prime factorise it

2 | 164

2 | 82

41| 41

| 1

164 = 2×2 × 41

to make it a perfect square let's give 41 a pair

164×n = 2×2 × 41×41

:. the value of n needs to be 41

:. n = 41