To find the smallest number that, when added to 7300, results in a perfect square, let's consider the nearest perfect square greater than 7300.
The nearest perfect square greater than 7300 is 7396, which is \(86^2\). Therefore, to make 7300 a perfect square, we need to add \(86^2 - 7300\) to it.
\[ \text{Smallest number to add} = 86^2 - 7300 \]
Let's calculate this:
\[ \text{Smallest number to add} = 7396 - 7300 = 96 \]
So, adding 96 to 7300 results in a perfect square number.
The nearest perfect square greater than 7300 is 7396, which is \(86^2\). Therefore, to make 7300 a perfect square, we need to add \(86^2 - 7300\) to it.
\[ \text{Smallest number to add} = 86^2 - 7300 \]
Let's calculate this:
\[ \text{Smallest number to add} = 7396 - 7300 = 96 \]
So, adding 96 to 7300 results in a perfect square number.
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