Calculate the square root of 61

Problem

√(,61)

Solution

1. Identify the number as a prime number. Since 61 is a prime number, its square root cannot be simplified into a product of an integer and a smaller radical.

2. Determine if it is a perfect square. Since 7=49 and 8=64 the value of √(,61) is an irrational number between 7 and 8

3. Approximate the decimal value if required. Using a calculator or numerical methods, the value is approximately 7.81024967...

4. State the exact form. In simplest radical form, the expression remains √(,61)

Final Answer

√(,61)=√(,61)

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