Answer :

The smallest value of n that will make each number rational is 5.

According to the statement

we have to find the smallest value of n that will make each number rational.

So, For this purpose, we know that the

Any number that can be written as a ratio (or fraction) of two integers is a rational number.

So, From the given information:

The numbers are 76+n and 2n+26

And

Now put n = 5 in it then

we see that 76 + n and 2n + 26. 5 can work for both of them.

76 + 5 = 81  which is a rational number and 2 * 5  + 26 = 36 which is also a rational number.

So, The smallest value of n that will make each number rational is 5.

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