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To subtract \( \sqrt{75} - \sqrt{45} \), we can simplify each square root first.
1. Simplify \( \sqrt{75} \):
\[
\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}
\]
2. Simplify \( \sqrt{45} \):
\[
\sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5}
\]
Now we can rewrite the original expression:
\[
\sqrt{75} - \sqrt{45} = 5\sqrt{3} - 3\sqrt{5}
\]
Since \( 5\sqrt{3} \) and \( 3\sqrt{5} \) are not like terms, we cannot simplify it further.
Thus, the difference is:
\[
\boxed{5\sqrt{3} - 3\sqrt{5}}
\]