Simplify square root of 4x^2+25

Problem

√(,4*x^2+25)

Solution

1. Identify the expression as the square root of a sum of two squares, 4*x^2 and 25

2. Check for common factors inside the radical. The terms 4*x^2 and 25 share no common numerical or variable factors.

3. Determine if the expression is a perfect square trinomial or can be factored further. Since it is a sum of squares (a^2+b^2 and not a difference of squares (a^2−b^2, it cannot be factored over the set of real numbers.

4. Conclude that the expression is already in its simplest radical form.

Final Answer

√(,4*x^2+25)=√(,4*x^2+25)

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