Question

Please help I need this done by tomorrow

Answer 1

n = 9

Explanation:

We require to consider
`√(n+16)`

For it to be a natural number then it must be a perfect square

If n = 9 , then

`√(9+16)` =
`√(25)` = 5

and

`(n)/(3)` =
`(9)/(3)` = 3

34 + n = 34 + 9 = 43

5, 3, 43 ∈ natural numbers

Then n = 9 is the smallest value