Calculate the square root of 89

Problem

√(,89)

Solution

1. Identify the number as a prime number. Since 89 is not divisible by any perfect squares (like 4, 9, 16, 25, 36, 49, 64$), the radical cannot be simplified into a simpler product of an integer and a square root.

2. Estimate the value by finding the nearest perfect squares. Since 9=81 and 10=100 the value must be between 9 and 10

3. Calculate the decimal approximation using a calculator or numerical method if a decimal form is required.

Final Answer

√(,89)≈9.43398

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