Question

To rationalize a denominator that has more than one term, you multiply the fraction by - b, where b is the conjugate of the denominator. Is this statement true or false?

1) True
2) False

Answer 1

The statement is true. To rationalize a denominator that has more than one term, you multiply the fraction by the conjugate of the denominator.

Step-by-step explanation:

The statement is true. To rationalize a denominator that has more than one term, you multiply the fraction by the conjugate of the denominator, not -b. The conjugate of a binomial is formed by changing the sign between the terms in the binomial.

For example, if the denominator is (a + b), the conjugate is (a - b). By multiplying the fraction by the conjugate, we can eliminate the radicals in the denominator and make it rational.