Simplify

Problem

√(,a−b)⋅√(,a+b)

Solution

1. Apply the product property of radicals, which states that √(,x)⋅√(,y)=√(,x*y) for non-negative values.

√(,a−b)⋅√(,a+b)=√(,(a−b)*(a+b))

2. Identify the difference of squares pattern inside the radical, where (x−y)*(x+y)=x2−y2

(a−b)*(a+b)=a2−b2

3. Substitute the simplified product back into the radical expression.

√(,a2−b2)

Final Answer

√(,a−b)⋅√(,a+b)=√(,a2−b2)

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