Math Problem Statement
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 is , not .
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:
- How do you find the conjugate of a binomial?
- Why do we multiply by the conjugate when rationalizing denominators?
- What happens if we don’t rationalize the denominator in a fraction?
- How do you simplify expressions after rationalizing the denominator?
- 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
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