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
RADICALS r So, means that r n =k
Rational exponents We usually express roots this way! Rational exponent
Rational exponents So, these three ways to express roots are equivalent! Notice that when you are dealing with a radical e...
Properties of Radicals Why? Why? Why? Why? Why? AHEAD
Properties of Radicals BACK AHEAD
Properties of Radicals BACK AHEAD
Properties of Radicals BACK AHEAD
Properties of Radicals BACK AHEAD
Properties of Radicals BACK AHEAD
Rationalizing Denominators with Radicals   You should never leave a radical in the denominator of a fraction. Always ratio...
Rationalizing Denominators with Radicals   You should never leave a radical in the denominator of a fraction. Always ratio...
Rationalizing Denominators with Radicals   You should never leave a radical in the denominator of a fraction. Always ratio...
Exercises   Now, you can practice doing exercises on your own… THE MORE YOU PRACTICE, THE MORE YOU LEARN … and remember…
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Radicals

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This presentation shows us the properties of radicals.

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Radicals

  1. 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. 2. RADICALS r So, means that r n =k
  3. 3. Rational exponents We usually express roots this way! Rational exponent
  4. 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. 5. Properties of Radicals Why? Why? Why? Why? Why? AHEAD
  6. 6. Properties of Radicals BACK AHEAD
  7. 7. Properties of Radicals BACK AHEAD
  8. 8. Properties of Radicals BACK AHEAD
  9. 9. Properties of Radicals BACK AHEAD
  10. 10. Properties of Radicals BACK AHEAD
  11. 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. 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. 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. 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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