Evaluate square root of 3* square root of 5

Problem

√(,3)⋅√(,5)

Solution

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

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

3. Multiply the radicands inside a single square root.

4. Simplify the resulting expression by calculating the product of 3 and 5.

Final Answer

√(,3)⋅√(,5)=√(,15)

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