Calculate the square root of 222

Problem

√(,222)

Solution

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

2. Factor the number 222 into its prime factors to see if it can be simplified.

222=2×111

222=2×3×37

3. Determine if any factors are repeated. Since 2 3 and 37 are all prime and appear only once, there are no perfect square factors other than 1

4. Conclude that the radical cannot be simplified further in exact form.

5. Approximate the value using a calculator if a decimal is required.

√(,222)≈14.89966

Final Answer

√(,222)=√(,222)

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