Evaluate square root of 145
Problem
Solution
Identify the number under the radical to see if it is a perfect square. Since
12=144 and13=169 the value√(,145) is not an integer.Check for factors that are perfect squares by finding the prime factorization of
145 Divide by the smallest prime factors.
145 ends in5 so it is divisible by5
Determine if the radical can be simplified. Since both
5 and29 are prime numbers and neither is a perfect square, the expression√(,145) cannot be simplified further into the forma√(,b) Approximate the value if a decimal is required. Since
145 is very close to144 the value is slightly larger than12
Final Answer
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