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Rationalizing a Denominator with a Binomial  Problem 8
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
Our goal in simplifying expressions with radicals is to ensure that there are no roots in the denominator. It is OK to have radicals in the numerator as long as we simplify as much as possible. To get the sum or difference with a radical term in the denominator, we need to multiply top and bottom of the fraction by the conjugate of the bottom. Mathematically, this is just multiplying by one, so we're not changing the value of the fraction, but if done correctly, the radical terms in the denominator will cancel out.
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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 (8)
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Rationalizing a Denominator with a Binomial
Problem 1 3,676 viewsRationalizing the denominator:
3 2  √5 
Rationalizing a Denominator with a Binomial
Problem 2 3,262 viewsRationalizing the denominator.
√3 √5 + √2 
Rationalizing a Denominator with a Binomial
Problem 3 663 views 
Rationalizing a Denominator with a Binomial
Problem 4 725 views 
Rationalizing a Denominator with a Binomial
Problem 5 685 views 
Rationalizing a Denominator with a Binomial
Problem 6 622 views 
Rationalizing a Denominator with a Binomial
Problem 7 632 views 
Rationalizing a Denominator with a Binomial
Problem 8 662 views
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