Simplifying radicals, adding and subtracting radicals, and multiplying radicals

Simplifying radicals, adding and subtracting radicals, and multiplying radicals

1. Simplifying radicals

   • In the simplest form when a radical has no square root factors

2. adding and subtracting radicals

   • Just as with "regular" numbers, square roots can be added together. But you might not be able to simplify the addition all the way down to one number. Just as "you can't add apples and oranges", so also you cannot combine "unlike" radicals. To add radical terms together, they have to have the same radical part.

3. Multiplying radicals

   • When multiplying radicals, you must multiply the numbers OUTSIDE (O) the radicals AND then multiply the numbers INSIDE (I) the radicals.

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