Evaluate square root of 3* square root of 3

Problem

√(,3)⋅√(,3)

Solution

1. Identify the expression as the 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 numbers inside the radical:

√(,3)⋅√(,3)=√(,3⋅3)

4. Simplify the resulting square root:

√(,9)=3

Final Answer

√(,3)⋅√(,3)=3

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