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How to Find the Square Root of 225?

Published in Mathematics 1 min read

The square root of 225 is 15.

Here's why and how you can find it:

  • Understanding Square Roots: A square root of a number is a value that, when multiplied by itself, gives the original number.

  • Finding the Square Root: In this case, 15 * 15 = 225. Therefore, the square root of 225 is 15.

  • Methods to find the Square Root: The YouTube video referenced suggests using a factor tree to find the square root of 225.

    • Factor Tree Method:
      1. Start by breaking down 225 into its prime factors.
      2. 225 = 3 * 75
      3. 75 = 3 * 25
      4. 25 = 5 * 5
      5. Therefore, 225 = 3 3 5 5 = (3 5) (3 5) = 15 * 15

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