Calculate the square root of 241

Problem

√(,241)

Solution

1. Identify the number as a prime number. Since 241 is not divisible by 2 3 5 7 11 or 13 it is a prime number.

2. Determine if the square root can be simplified. Because 241 has no square factors other than 1 the radical √(,241) is already in its simplest radical form.

3. Estimate the decimal value. Since 15=225 and 16=256 the value lies between 15 and 16

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

Final Answer

√(,241)≈15.52417469625

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