Calculate the square root of 99

Problem

√(,99)

Solution

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

2. Factor the number 99 into a product of a perfect square and another integer.

99=9⋅11

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

√(,99)=√(,9⋅11)

√(,99)=√(,9)⋅√(,11)

4. Simplify the square root of the perfect square 9

√(,9)=3

5. Combine the results to find the simplified radical form.

√(,99)=3√(,11)

Final Answer

√(,99)=3√(,11)

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