Evaluate square root of 65
Problem
Solution
Identify the number under the radical, which is
65 Determine if
65 is a perfect square. Since8=64 and9=81 65 is not a perfect square.Factor the number to see if it can be simplified. The prime factorization of
65 is5×13 Conclude that since there are no repeating prime factors, the square root cannot be simplified further into a simpler radical form.
Estimate the decimal value. Since
65 is slightly larger than64 the value is slightly larger than8
Final Answer
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