Final answer:
To make the trinomial a perfect square, the value of n should be equal to 144.
Step-by-step explanation:
In order for the trinomial x^(2)+24x+n to be a perfect square trinomial, the value of n must be equal to the square of half the coefficient of x. Since the coefficient of x is 24, half of it is 12, and the square of 12 is 144. Therefore, the value of n that would make the trinomial a perfect square is 144.
Learn more about Perfect square trinomials