Calculate the square root of 130
Problem
Solution
Identify the number under the radical, which is
130 Determine the prime factorization of
130 to see if it contains any perfect square factors.Factor the number:
130=2×5×13 Observe that there are no repeating prime factors, meaning
130 has no square factors other than1 Conclude that the square root cannot be simplified further into a simpler radical form.
Approximate the value if a decimal is required: since
11=121 and12=144 the value is between11 and12
Final Answer
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