Add or subtract as indicated.
\[
5 \sqrt{5}-4 \sqrt{5}-\sqrt{3}
\]
\[
5 \sqrt{5}-4 \sqrt{5}-\sqrt{3}=\square
\]
(Type an exact answer, using radicals as needed.)

Answer

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Answer

Final Answer: \(\boxed{\sqrt{5}-\sqrt{3}}\)

Steps

Step 1 ：The given expression is \(5 \sqrt{5}-4 \sqrt{5}-\sqrt{3}\).

Step 2 ：We can combine the terms with the same radicals. In this case, \(5 \sqrt{5}\) and \(-4 \sqrt{5}\) can be combined.

Step 3 ：The term \(-\sqrt{3}\) cannot be combined with the other terms because it has a different radical.

Step 4 ：Combining \(5 \sqrt{5}\) and \(-4 \sqrt{5}\) gives \(\sqrt{5}\).

Step 5 ：So, the simplified form of the expression is \(\sqrt{5}-\sqrt{3}\).

Step 6 ：Final Answer: \(\boxed{\sqrt{5}-\sqrt{3}}\)