Simplify square root of x^2-10x+25

Problem

√(,x2−10*x+25)

Solution

1. Identify the expression inside the square root as a quadratic trinomial of the form a*x2+b*x+c

2. Factor the perfect square trinomial x2−10*x+25 by finding two numbers that multiply to 25 and add to −10

3. Rewrite the expression as a squared binomial: (x−5)2

4. Apply the property of square roots √(,a2)=|a| to simplify the expression.

Final Answer

√(,x2−10*x+25)=|x−5|

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