Rationalizing a Denominator with a Binomial - Concept

Concept Concept (1)

When rationalizing a denominator with two terms, called a binomial, first identify the conjugate of the binomial. The conjugate is the same binomial except the second term has an opposite sign. Next, multiply the numerator and denominator by the conjugate. The denominator becomes a difference of squares, which will eliminate the square roots in the denominator.

Sample Sample Problems (8)

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Rationalizing a Denominator with a Binomial - Problem 1

Rationalizing the denominator:

3
2 - √5
Problem 1
How to rationalize a denominator by multiplying by the conjugate.
Rationalizing a Denominator with a Binomial - Problem 2

Rationalizing the denominator.

3
5 + √2
Problem 2
How to rationalize a denominator with two radicals.
Rationalizing a Denominator with a Binomial - Problem 3
Problem 3
Rationalizing an expression with a binomial denominator.
Rationalizing a Denominator with a Binomial - Problem 4
Problem 4
Rationalizing a binomial denominator with radical terms.
Rationalizing a Denominator with a Binomial - Problem 5
Problem 5
Subtraction with two radicals with unlike denominators.
Rationalizing a Denominator with a Binomial - Problem 6
Problem 6
Rationalizing a denominator containing binomials of radicals in both the numerator and denominator.
Rationalizing a Denominator with a Binomial - Problem 7
Problem 7
Addition with binomial radical denominators.
Rationalizing a Denominator with a Binomial - Problem 8
Problem 8
Rationalizing a binomial denominator with one radical term.