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Calculate the square root of 256

Problem

√(,256)

Solution

  1. Identify the number under the radical, which is 256

  2. Determine if 256 is a perfect square by checking integers whose square is near 250

  3. Test the integer 16 by multiplying it by itself.

  4. Calculate the product: 16×16=256

  5. Conclude that the principal square root of 256 is 16

Final Answer

√(,256)=16


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