### 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 Problems (8)

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Rationalizing the denominator:

3
2 - √5
###### Problem 1
How to rationalize a denominator by multiplying by the conjugate.

Rationalizing the denominator.

3
5 + √2
###### Problem 2
How to rationalize a denominator with two radicals.
###### Problem 3
Rationalizing an expression with a binomial denominator.
###### Problem 4
Rationalizing a binomial denominator with radical terms.
###### Problem 5
Subtraction with two radicals with unlike denominators.
###### Problem 6
Rationalizing a denominator containing binomials of radicals in both the numerator and denominator.