Simplify ( square root of x-5)/(x-25)

Problem

√(,x−5)/(x−25)

Solution

1. Identify the expression as a fraction involving a square root in the numerator and a linear expression in the denominator.

2. Determine if the expression can be simplified further. In this case, the term under the square root is x−5 while the denominator is x−25

3. Analyze the denominator x−25 It can be factored as a difference of squares if x is treated as (√(,x))2 resulting in (√(,x)−5)*(√(,x)+5) However, this does not contain the term √(,x−5)

4. Conclude that since there are no common factors between the numerator √(,x−5) and the denominator x−25 the expression is already in its simplest form.

Final Answer

√(,x−5)/(x−25)=√(,x−5)/(x−25)

Want more problems? Check here!