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11.3 Simplifying Radicals

11.3 Simplifying Radicals. Simplifying Radical Expressions. Simplifying Radical Expressions. A radical has been simplified when its radicand contains no perfect square factors. Test to see if it can be divided by 4, then 9, then 25, then 49, etc.

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11.3 Simplifying Radicals

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  1. 11.3 Simplifying Radicals

  2. Simplifying Radical Expressions

  3. Simplifying Radical Expressions • A radical has been simplified when its radicand contains no perfect square factors. • Test to see if it can be divided by 4, then 9, then 25, then 49, etc. • Sometimes factoring the radicand using the “tree” is helpful.

  4. Steps • Try to divide the radicand into a perfect square for numbers • If there is an exponent make it even by using rules of exponents • Separate the factors to its own square root • Simplify

  5. Simplify:

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  8. Simplify: Square root of a variable to an even power = the variable to one-half the power.

  9. Simplify: Square root of a variable to an even power = the variable to one-half the power.

  10. Simplify:

  11. Simplify:

  12. Simplify:

  13. Simplify:

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  25. Cube roots • 2^3 = 8 • 3^3= 27 • 4^=64 • 5^3=125 • Classwork Page 494(2-16) even

  26. Assignment:Page 4932-48 (even other even)

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