Square Roots and Radicals 19

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Taught by YourMathGal
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Lesson Summary:

In this lesson on Square Roots and Radicals, the focus is on rationalizing denominators with binomial expressions. The examples given demonstrate two methods; one method is to multiply the numerator and denominator by the conjugate of the denominator, while the second method involves breaking up the numerator into individual terms and dividing each term by the denominator. Each method is shown to produce a different form of the answer, but both are considered to be correct. The lesson concludes with a reminder that there are many types of problems involving rationalizing denominators, and it's up to the student to determine the appropriate method to use.

Lesson Description:

Expands on problems from Square Roots and Radicals 18 with more examples rationalizing the denominator.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • How do you rationalize the denominator of a fraction when it contains a radical binomial expression?
  • How do you find the conjugate of a radical binomial?
  • What is the conjugate of a radical binomial expression?
  • How do you simplify and rationalize the denominator of 8/((3 * square root of 2) - 2)?
  • Why should you multiply the denominator before the numerator when you are rationalizing a radical binomial denominator?
  • How do you simplify and rationalize the denominator of (3 + square root of 2)/(4 - square root of 5)?
  • How do you simplify and rationalize the denominator of (square root of 7 + square root of 3)/(square root of 7 - square root of 3)?
  • How do you simplify and rationalize the denominator of ((5 * square root of 2) + 3)/(square root of 2)?
  • Staff Review

    • Currently 4.0/5 Stars.
    More example problems for rationalizing the denominator of a fraction with a radical binomial in the denominator are shown. These problems are rather complicated and can be very difficult for students, so this is a great tutorial to learn some easy methods for simplifying these expressions. This is a must-watch for anyone struggling with rationalizing the denominator.