Calculate the square root of 41

Problem

√(,41)

Solution

1. Identify the number as a prime number. Since 41 has no factors other than 1 and itself, its square root cannot be simplified into a product of an integer and a smaller radical.

2. Determine the nature of the value. Because 41 is not a perfect square, its square root is an irrational number.

3. Estimate the decimal value. Since 6=36 and 7=49 the value lies between 6 and 7.

4. Calculate the decimal approximation using a calculator or numerical method for higher precision.

Final Answer

√(,41)≈6.403124237

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