Simplify square root of x^2-25

Problem

√(,x2−25)

Solution

1. Identify the expression as a square root of a difference of squares.

2. Factor the radicand using the difference of squares formula a2−b2=(a−b)*(a+b)

3. Substitute a=x and b=5 into the formula to rewrite the expression under the radical.

4. Determine if further simplification is possible. Since neither factor is a perfect square and they are not identical, the expression cannot be simplified into a simpler polynomial or rational form without additional information about x

Final Answer

√(,x2−25)=√(,(x−5)*(x+5))

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