Evaluate

Problem

√(,2)/2⋅√(,3)/2

Solution

1. Identify the operation as the multiplication of two fractions involving square roots.

2. Multiply the numerators by using the product property of radicals, which states √(,a)⋅√(,b)=√(,a*b)

√(,2)⋅√(,3)=√(,6)

3. Multiply the denominators together.

2⋅2=4

4. Combine the results into a single fraction.

√(,6)/4

Final Answer

√(,2)/2⋅√(,3)/2=√(,6)/4

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