Evaluate square root of 89

Problem

√(,89)

Solution

1. Identify the number under the radical, which is 89

2. Determine if the number is a perfect square. Since 9=81 and 10=100 89 is not a perfect square.

3. Check for prime factors to see if the radical can be simplified. The number 89 is a prime number.

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

5. Calculate the square root to several decimal places.

√(,89)≈9.433981132...

Final Answer

√(,89)≈9.43398

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