bananaboy350
Answered

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Sagot :

Answer:

n = 9

Step-by-step explanation:

We require to consider [tex]\sqrt{n+16}[/tex]

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

If n = 9 , then

[tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5

and

[tex]\frac{n}{3}[/tex] = [tex]\frac{9}{3}[/tex] = 3

34 + n = 34 + 9 = 43

5, 3, 43 ∈ natural numbers

Then n = 9 is the smallest value

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