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Dividing Radicals and Rationalizing the Denominator  Problem 7
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
In math, we try to leave the denominators of any fraction as rational numbers (as opposed to roots.) If you have a root in the denominator of your fraction, in order to make it rational, you need to multiply both top and bottom of the fraction by that root. This process is called "rationalizing the denominator" because, if done correctly, the bottom of the fraction becomes an integer and the only roots will be in the numerator. You can choose to simplify the root in the denominator either before you begin (which gives you smaller numbers to work with throughout) or after you have multiplied top and bottom you should get the same answer either way.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (10)
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Dividing Radicals and Rationalizing the Denominator
Problem 1 9,339 viewsSimplify:
5√8 √3x 
Dividing Radicals and Rationalizing the Denominator
Problem 2 7,608 viewsSimplify:
4 √7 + √10 
Dividing Radicals and Rationalizing the Denominator
Problem 3 7,355 viewsSimplify:
3 √12 + √8 
Dividing Radicals and Rationalizing the Denominator
Problem 4 997 views 
Dividing Radicals and Rationalizing the Denominator
Problem 5 887 views 
Dividing Radicals and Rationalizing the Denominator
Problem 6 957 views 
Dividing Radicals and Rationalizing the Denominator
Problem 7 780 views 
Dividing Radicals and Rationalizing the Denominator
Problem 8 819 views 
Dividing Radicals and Rationalizing the Denominator
Problem 9 964 views 
Dividing Radicals and Rationalizing the Denominator
Problem 10 903 views
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