Evaluate square root of 5* square root of 5

Problem

√(,5)⋅√(,5)

Solution

1. Identify the expression as a product of two identical square roots.

2. Apply the property of radicals which states that √(,a)⋅√(,b)=√(,a⋅b) for non-negative numbers.

3. Multiply the values inside the radical to get √(,5⋅5)=√(,25)

4. Simplify the square root of the perfect square.

Final Answer

√(,5)⋅√(,5)=5

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