Evaluate square root of 149

Problem

√(,149)

Solution

1. Identify the number under the radical. The number is 149

2. Check for perfect square factors. Since 149 is a prime number, it cannot be factored into smaller integers or perfect squares.

3. Estimate the value. Since 12=144 and 13=169 the value of √(,149) is between 12 and 13

4. Calculate the decimal approximation. Using a calculator or numerical methods, √(,149)≈12.2065556

Final Answer

√(,149)≈12.2066

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