Square Roots and Radicals 15
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Lesson Summary:
In Square Roots and Radicals Part 15, you'll learn how to divide with square roots using the quotient rule and how to simplify the denominator by rationalizing it. This lesson covers examples of dividing square roots and how to simplify fractions with square roots in the denominator. You'll also learn the trick of multiplying the numerator and denominator by the same square root in order to create an equivalent fraction and how this helps to rationalize the denominator.
Lesson Description:
Square Roots and Radicals Part 15 covers dividing with square roots using the quotient rule. Explains rationalizing the denominator for monomials with square roots in the denominator.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you divide square roots?
- How do you simplify the square root of 16/9?
- How do you simplify the square root of 18/25?
- How do you simplify (square root of 12x^3y^5)/(square root of 3xy)?
- How do you simplify the square root of 1/2?
- What does it mean to rationalize the denominator?
- How do you remove a radical from the denominator of a fraction?
- Why does 1/(square root of 2) equal (square root of 2)/2?
- How can you change a radical into a whole number?
- Why do you have to rationalize the denominator of a fraction?
- Why can you not leave square roots in the denominator?
- How do you rationalize the denominator in 3/(square root of 5)?
- How do you simplify 12/(square root of 6)?
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Staff Review
This lesson is dedicated to division of radicals. Another way of thinking of this is just taking the square root of a fraction. This turns out to follow rather easily from the previous lessons and is not much of a jump at all. This ends up leading into the idea of rationalizing the denominator of a fraction by changing radicals in the denominator into whole numbers by multiplying by the radical part in the numerator and denominator. This is a very critical lesson that can sometimes be confusing to students.
