Evaluate square root of 181

Problem

√(,181)

Solution

1. Identify the number under the radical, which is 181

2. Check for perfect square factors. Since 181 is a prime number, it cannot be factored into smaller integers or simplified into a product of a perfect square and another integer.

3. Determine if a decimal approximation is required. As the task asks to evaluate the square root and the number is prime, the exact form is √(,181)

4. Calculate the approximate value if needed. Since 13=169 and 14=196 the value lies between 13 and 14 Using a calculator, √(,181)≈13.4536

Final Answer

√(,181)=√(,181)

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