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Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
Radicals
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Radicals

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This presentation shows us the properties of radicals.

This presentation shows us the properties of radicals.

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  • 1. RADICALS radicand index The nth root of a number k is a number r which, when raised to the power of n , equals k r
  • 2. RADICALS r So, means that r n =k
  • 3. Rational exponents We usually express roots this way! Rational exponent
  • 4. Rational exponents So, these three ways to express roots are equivalent! Notice that when you are dealing with a radical expression, you can convert it to an expression containing a rational (fractional) power.  This conversion may make the problem easier to solve .
  • 5. Properties of Radicals Why? Why? Why? Why? Why? AHEAD
  • 6. Properties of Radicals BACK AHEAD
  • 7. Properties of Radicals BACK AHEAD
  • 8. Properties of Radicals BACK AHEAD
  • 9. Properties of Radicals BACK AHEAD
  • 10. Properties of Radicals BACK AHEAD
  • 11. Rationalizing Denominators with Radicals You should never leave a radical in the denominator of a fraction. Always rationalize the denominator. Example 1 (monomial denominator) Rationalize the following expression: Answer: AHEAD
  • 12. Rationalizing Denominators with Radicals You should never leave a radical in the denominator of a fraction. Always rationalize the denominator. Example 2 (monomial denominator) Rationalize the following expression: Answer: AHEAD
  • 13. Rationalizing Denominators with Radicals You should never leave a radical in the denominator of a fraction. Always rationalize the denominator. Example 3 (binomial denominator) Rationalize the following expression: Answer: You will need to multiply the numerator and denominator by the denominator's conjugate AHEAD
  • 14. Exercises Now, you can practice doing exercises on your own… THE MORE YOU PRACTICE, THE MORE YOU LEARN … and remember…

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