Evaluate square root of 2* square root of 8

Problem

√(,2)⋅√(,8)

Solution

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

√(,2)⋅√(,8)=√(,2⋅8)

2. Multiply the numbers inside the square root.

√(,2⋅8)=√(,16)

3. Evaluate the square root of the resulting perfect square.

√(,16)=4

Final Answer

√(,2)⋅√(,8)=4

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