Evaluate square root of 63

Problem

√(,63)

Solution

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

2. Factor the number 63 into a product of a perfect square and another integer.

√(,63)=√(,9⋅7)

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

√(,9⋅7)=√(,9)⋅√(,7)

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

√(,9)=3

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

3⋅√(,7)=3√(,7)

Final Answer

√(,63)=3√(,7)

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