Question #6450784Fill in the Blank
Algebra-2
Question
Rationalize the expression . The result is ________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to rationalize a binomial denominator with square roots.
This problem assesses the ability to rationalize a binomial denominator with square roots.
Key Concept Explanation
To rationalize a binomial denominator with square roots, multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate is formed by changing the sign between the terms in the binomial.
To rationalize a binomial denominator with square roots, multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate is formed by changing the sign between the terms in the binomial.
Step-by-step Solution
1. Identify the conjugate of the denominator: has the conjugate
2. Multiply the numerator and the denominator by the conjugate:
3. Simplify the denominator using the difference of squares:
1. Identify the conjugate of the denominator: has the conjugate
2. Multiply the numerator and the denominator by the conjugate:
3. Simplify the denominator using the difference of squares:
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!