freeCodeCamp/guide/english/mathematics/algebra/simplifying-square-roots/index.md

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Simplifying Square Roots

Example: Simplify

Solution steps:

  • Break 180 into product of prime number factors:
  • Use product property of radicals
    We cannot simplify square root of a prime number thus final answer:

Example: Simplify

Solution steps:

  • Break 1750 into product of prime number factors:
  • Use product property of radicals and keep breaking down the results:
    Now use product property again to combine radicals which cannot be simplified:

Terminology:

Using √49 as an example:

  • "√" is called radical symbol.
  • 49 is called radicand.

More Information: