Simplify

Problem

√(,x2−1)/√(,x−1)

Solution

1. Apply the quotient rule for radicals to combine the numerator and denominator into a single square root.

√(,x2−1)/√(,x−1)=√(,(x2−1)/(x−1))

2. Factor the numerator using the difference of squares formula, where x2−1=(x−1)*(x+1)

√(,((x−1)*(x+1))/(x−1))

3. Cancel the common factor of (x−1) from the numerator and the denominator.

√(,x+1)

Final Answer

√(,x2−1)/√(,x−1)=√(,x+1)

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