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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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