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Rationalizing the Denominator

Rationalizing the Denominator. Rationalizing. There is an agreement. in mathematics. that we don’t leave a radical. in the denominator. of a fraction. So how do we change the denominator of a fraction?. (Without changing the value of the fraction, of course.).

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Rationalizing the Denominator

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  1. Rationalizing the Denominator www.assignmentpoint.com

  2. Rationalizing www.assignmentpoint.com

  3. There is an agreement in mathematics that we don’t leave a radical in the denominator of a fraction. www.assignmentpoint.com

  4. So how do we change the denominator of a fraction? (Without changing the value of the fraction, of course.) www.assignmentpoint.com

  5. The same way we change the denominator of any fraction! (Without changing the value of the fraction, of course.) www.assignmentpoint.com

  6. We multiply the denominator and the numerator by the same number. www.assignmentpoint.com

  7. By what number can we multiply to change it to a rational number? www.assignmentpoint.com

  8. The answer is . . . . . . by itself! www.assignmentpoint.com

  9. Remember, is the number we square to get n. So when we square it, we’d better get n. www.assignmentpoint.com

  10. In our fraction, to get the radical out of the denominator, we can multiply numerator and denominator by . www.assignmentpoint.com

  11. In our fraction, to get the radical out of the denominator, we can multiply numerator and denominator by . www.assignmentpoint.com

  12. Because we are changing the denominator to a rational number, we call this process rationalizing. www.assignmentpoint.com

  13. Rationalize the denominator: (Don’t forget to simplify) www.assignmentpoint.com

  14. Rationalize the denominator: (Don’t forget to simplify) (Don’t forget to simplify) www.assignmentpoint.com

  15. When there is a binomial with a radical in the denominator of a fraction, you find the conjugate and multiply. This gives a rational denominator. www.assignmentpoint.com

  16. Simplify: Multiply by the conjugate. FOIL numerator and denominator. www.assignmentpoint.com Next

  17. Simplify · = www.assignmentpoint.com

  18. Combine like terms Try this on your own: www.assignmentpoint.com

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