Calculate the square root of 85

Problem

√(,85)

Solution

1. Identify the number under the radical, which is 85

2. Check for perfect square factors by listing the prime factors of 85

3. Factorize the number: 85=5×17

4. Determine if the radical can be simplified. Since neither 5 nor 17 are perfect squares and there are no repeating factors, the expression cannot be simplified into a simpler radical form.

5. Approximate the value if a decimal is required. Since 9=81 and 10=100 the value is slightly larger than 9

Final Answer

√(,85)=√(,85)

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