1)Find the smallest value of n such that 164n is a perfect square .
2)Find the smallest value of k such that 3240 is a perfect cube.
Please give me explained answers because I can't understand anyones answers and I need to submit my assessment in morning.
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Answer:
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
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