Addition and Subtraction of Radicals

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Addition and Subtraction of Radicals

  1. 1. WHAT IS A RADICAL? A RADICAL EXPRESSION OR RADICAL IS A TERM OR EXPRESSION THAT CONTAINS A SQUARE ROOT Addition Addition and subtraction of radicals involve the same concept in adding and subtracting integers or whole numbers.
  2. 2. Parts of a radical expression
  3. 3. Addition • -Simplify the radical expressions by finding the root of the radicand or factoring it out Simplify the terms. -If there is no square root, use prime factorization on the numbers.
  4. 4. Prime factorization The first few prime numbers are: 2, 3, 5, 7, 11, 13, and 17 ...
  5. 5. Addition • -Simplify the radical expressions by finding the root of the radicand or by factoring it out. -If there is no square root, use prime factorization on the numbers.
  6. 6. Addition - Simplify the terms. - -If the exponent is greater than or equal to the index, then it can be taken outside the radicand.
  7. 7. subtraction - Find the root of the radicand or factor it out. Do the same procedure in adding radicals. The only thing to change is the operation.
  8. 8. subtraction --If the exponent is greater than or equal to the index, then it can be taken outside the radicand. -simplify the terms.
  9. 9. REMEMBER! We can only combine like radicals. Don’t forget the index. The most common value of the index (root) is 2. but it can also be 3 or more. (cube, fourth root, etc)
  10. 10. Let’s try!
  11. 11. REMEMBER! • We can only combine like radicals. • Don’t forget the index. The most common value of the index (root) is 2. but it can also be 3 or more. (cube, fourth root, etc)

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