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Evaluate square root of 625

Problem

√(,625)

Solution

  1. Identify the number under the radical, which is 625

  2. Determine if the number is a perfect square by looking for an integer that, when multiplied by itself, equals 625

  3. Test values ending in 5 since the last digit of 625 is 5

  4. Calculate the square of 25

25×25=625

  1. Conclude that the principal square root is the positive value 25

Final Answer

√(,625)=25


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