Calculate the Square Root square root of 8

Problem

√(,8)

Solution

1. Identify the number under the radical and look for perfect square factors.

2. Factor the number 8 into a product of a perfect square and another integer.

√(,8)=√(,4⋅2)

3. Apply the product property of radicals, which states √(,a⋅b)=√(,a)⋅√(,b)

√(,4⋅2)=√(,4)⋅√(,2)

4. Simplify the square root of the perfect square factor.

√(,4)=2

5. Combine the results to write the expression in simplest radical form.

2⋅√(,2)=2√(,2)

Final Answer

√(,8)=2√(,2)

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