Math Problem Statement

To rationalize a denominator that has more than one term, you multiply the fraction by B + B, where B is the conjugate of the denominator.

Solution

The statement in the image is referring to the process of rationalizing denominators with more than one term. The correct method to rationalize a denominator with a binomial (two terms) is to multiply the numerator and denominator by the conjugate of the denominator. The conjugate of a binomial a+ba + b is aba - b, not b+bb + b.

Therefore, the answer to this question is:

B. False

Would you like more clarification on this topic? Here are some related questions you might find helpful:

  1. How do you find the conjugate of a binomial?
  2. Why do we multiply by the conjugate when rationalizing denominators?
  3. What happens if we don’t rationalize the denominator in a fraction?
  4. How do you simplify expressions after rationalizing the denominator?
  5. Can you rationalize a denominator with a more complex expression than just a binomial?

Tip: When rationalizing, always check that you are multiplying by the correct conjugate (i.e., change the sign between the two terms in the denominator).

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Math Problem Analysis

Mathematical Concepts

Algebra
Rationalizing Denominators
Conjugates

Formulas

Multiplying by the conjugate to rationalize the denominator

Theorems

Conjugate rule for rationalizing fractions

Suitable Grade Level

Grades 8-10