Evaluate square root of 97

Problem

√(,97)

Solution

1. Identify the number under the radical, which is 97

2. Determine if 97 is a perfect square. Since 9=81 and 10=100 97 is not a perfect square.

3. Check for prime factors to see if the radical can be simplified. 97 is a prime number, so it cannot be factored into smaller square components.

4. Approximate the value using a calculator or numerical methods if a decimal representation is required.

5. Calculate the square root to several decimal places.

√(,97)≈9.8488578...

Final Answer

√(,97)≈9.8488578

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