Simplify square root of 63

Problem

√(,63)

Solution

1. Identify the largest perfect square factor of the radicand 63

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

63=9⋅7

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

√(,63)=√(,9⋅7)

√(,63)=√(,9)⋅√(,7)

4. Simplify the square root of the perfect square.

√(,9)=3

5. Combine the terms to reach the final simplified form.

3⋅√(,7)=3√(,7)

Final Answer

√(,63)=3√(,7)

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