Problem

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.)

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/hRQciJvR6h/

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