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What is the square root of 441?

Mathematics

ScanSolve AI Answer

Answer

21

Step-by-step solution

3 steps
  1. Find the prime factorization of 441.

    441=3×147441 = 3 \times 147 147=3×49147 = 3 \times 49 49=7×749 = 7 \times 7

    So, the prime factorization of 441 is 3×3×7×7=32×723 \times 3 \times 7 \times 7 = 3^2 \times 7^2.

  2. Rewrite the square root using the prime factorization.

    441=32×72\sqrt{441} = \sqrt{3^2 \times 7^2}
  3. Simplify the expression.

    32×72=32×72\sqrt{3^2 \times 7^2} = \sqrt{3^2} \times \sqrt{7^2} =3×7= 3 \times 7 =21= 21

    The square root of 441 is:

    2121
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